diff --git a/framework/doc/content/source/meshgenerators/CutMeshByLevelSetGenerator.md b/framework/doc/content/source/meshgenerators/CutMeshByLevelSetGenerator.md
index 80fc13e8133a..c03582361b76 100644
--- a/framework/doc/content/source/meshgenerators/CutMeshByLevelSetGenerator.md
+++ b/framework/doc/content/source/meshgenerators/CutMeshByLevelSetGenerator.md
@@ -1,4 +1,4 @@
-# CutMeshByPlaneGenerator
+# CutMeshByLevelSetGenerator
 
 !syntax description /Mesh/CutMeshByLevelSetGenerator
 
@@ -6,7 +6,7 @@
 
 The `CutMeshByLevelSetGenerator` is an extended version of [`CutMeshByPlaneGenerator`](/CutMeshByPlaneGenerator.md). It is used to trim a 3D input mesh based on a given level set `f(x,y,z)`. The portion of the input mesh that is within the level set (i.e., `f(x,y,z)<=0`) is retained, while the portion of the input mesh that is outside the level set (i.e., `f(x,y,z)>0`) is discarded. The input mesh, given by [!param](/Mesh/CutMeshByLevelSetGenerator/input), must be 3D and contain only first-order elements. The level set is specified by [!param](/Mesh/CutMeshByLevelSetGenerator/level_set), which can be interpreted by `FParser` as a function of `x`, `y`, and `z` (i.e., `f(x,y,z)`). The mesh is then smoothed to avert a "zigzag" cut along element boundaries.
 
-Using this mesh generator, a 3D structured mesh defined by a bounding box (e.g., generated by [`GeneratedMeshGenerator`](/GeneratedMeshGenerator.md)) can be subtracted into a 3D mesh with its shape define by a given level set. Such a 3D mesh could be further used as an input of [`XYZDelaunayGenerator`](/XYZDelaunayGenerator.md).
+Using this mesh generator, a 3D structured mesh defined by a bounding box (e.g., generated by [`GeneratedMeshGenerator`](/GeneratedMeshGenerator.md)) can be subtracted into a 3D mesh with its shape define by a given level set.
 
 ## Methods
 
diff --git a/framework/include/meshgenerators/CutMeshByLevelSetGeneratorBase.h b/framework/include/meshgenerators/CutMeshByLevelSetGeneratorBase.h
index 5848cb324e0a..251be4bb09e3 100644
--- a/framework/include/meshgenerators/CutMeshByLevelSetGeneratorBase.h
+++ b/framework/include/meshgenerators/CutMeshByLevelSetGeneratorBase.h
@@ -47,7 +47,7 @@ class CutMeshByLevelSetGeneratorBase : public MeshGenerator, public FunctionPars
   SymFunctionPtr _func_level_set;
 
   /**
-   * Evaluate the whether a point is on the level set, inside or outside the level set.
+   * Evaluate whether a point is on the level set, inside or outside the level set.
    * @param point The point at which the level set function is to be evaluated
    * @return the relation of the point to the level set
    */
@@ -63,8 +63,8 @@ class CutMeshByLevelSetGeneratorBase : public MeshGenerator, public FunctionPars
   Point pointPairLevelSetInterception(const Point & point1, const Point & point2);
 
   /**
-   * For a TET4 elements crossed by the cutting plane, keep the part of the element on the retaining
-   * side of the plane using a number of TET4 elements.
+   * For a TET4 elements crossed by the level set, keep the part of the element on the retaining
+   * side of the level set using a number of TET4 elements.
    * @param mesh The mesh to be modified
    * @param bdry_side_list A list that contains the boundary information of the original mesh
    * @param elem_id The id of the element to be cut
diff --git a/framework/src/meshgenerators/CutMeshByLevelSetGeneratorBase.C b/framework/src/meshgenerators/CutMeshByLevelSetGeneratorBase.C
index afa965e73201..157c01a58ab5 100644
--- a/framework/src/meshgenerators/CutMeshByLevelSetGeneratorBase.C
+++ b/framework/src/meshgenerators/CutMeshByLevelSetGeneratorBase.C
@@ -37,7 +37,7 @@ CutMeshByLevelSetGeneratorBase::validParams()
 
   params.addClassDescription(
       "This CutMeshByLevelSetGeneratorBase object is designed to be the base class of mesh "
-      "generator that cuts a 3D mesh based on a analytic level set function. The level set "
+      "generator that cuts a 3D mesh based on an analytic level set function. The level set "
       "function could be provided explicitly or indirectly.");
 
   return params;
@@ -189,6 +189,7 @@ CutMeshByLevelSetGeneratorBase::pointPairLevelSetInterception(const Point & poin
   Real dist = abs(dist1) + abs(dist2);
   Point mid_point;
 
+  // Bisection method to find midpoint
   while (MooseUtils::absoluteFuzzyGreaterThan(dist, 0.0))
   {
     mid_point = 0.5 * (p1 + p2);
diff --git a/framework/src/meshgenerators/CutMeshByPlaneGenerator.C b/framework/src/meshgenerators/CutMeshByPlaneGenerator.C
index 282e5253d1c3..c0233bf1fe8d 100644
--- a/framework/src/meshgenerators/CutMeshByPlaneGenerator.C
+++ b/framework/src/meshgenerators/CutMeshByPlaneGenerator.C
@@ -40,7 +40,7 @@ CutMeshByPlaneGenerator::CutMeshByPlaneGenerator(const InputParameters & paramet
   _func_level_set = std::make_shared<SymFunction>();
   // set FParser internal feature flags
   setParserFeatureFlags(_func_level_set);
-  // The plance is (x - x0) * n_x + (y - y0) * n_y + (z - z0) * n_z = 0
+  // The plane is (x - x0) * n_x + (y - y0) * n_y + (z - z0) * n_z = 0
   std::stringstream level_set_ss;
   // Let's be conservative about precision here
   level_set_ss << std::fixed << std::setprecision(15) << _plane_normal(0) << "*(x-"
diff --git a/test/tests/meshgenerators/cut_mesh_by_level_set_generator/tests b/test/tests/meshgenerators/cut_mesh_by_level_set_generator/tests
index dfa1b8720e76..5bbd77b23c2a 100644
--- a/test/tests/meshgenerators/cut_mesh_by_level_set_generator/tests
+++ b/test/tests/meshgenerators/cut_mesh_by_level_set_generator/tests
@@ -18,7 +18,7 @@
         csvdiff = 'cut_xyzd_out.csv'
         mesh_mode = 'REPLICATED'
         recover = false
-        detail ='cut a 3D mesh to generator a raw level set mesh that can be used for 3D delaunay mesh generation.'
+        detail ='cut a 3D mesh to generate a raw level set mesh that can be used for 3D Delaunay mesh generation.'
       []
     []
   # Does not need error tests as they have been covered by CutMeshByPlaneGenerator