diff --git a/src/core/lib/support/orphanable.h b/src/core/lib/support/orphanable.h
index 63eda2e08b0..2f537573fd4 100644
--- a/src/core/lib/support/orphanable.h
+++ b/src/core/lib/support/orphanable.h
@@ -31,11 +31,16 @@
 
 namespace grpc_core {
 
-// A base class for orphanable objects.
+// A base class for orphanable objects, which have one external owner
+// but are not necessarily destroyed immediately when the external owner
+// gives up ownership.  Instead, the owner calls the object's Orphan()
+// method, and the object then takes responsibility for its own cleanup
+// and destruction.
 class Orphanable {
  public:
   // Gives up ownership of the object.  The implementation must arrange
-  // to destroy the object without further interaction from the caller.
+  // to eventually destroy the object without further interaction from the
+  // caller.
   virtual void Orphan() GRPC_ABSTRACT;
 
   // Not copyable or movable.
diff --git a/src/core/lib/support/ref_counted_ptr.h b/src/core/lib/support/ref_counted_ptr.h
index 8c8606ca0a1..76ff0bba668 100644
--- a/src/core/lib/support/ref_counted_ptr.h
+++ b/src/core/lib/support/ref_counted_ptr.h
@@ -79,11 +79,11 @@ class RefCountedPtr {
   bool operator==(const RefCountedPtr& other) const {
     return value_ == other.value_;
   }
-  bool operator==(T* other) const { return value_ == other; }
+  bool operator==(const T* other) const { return value_ == other; }
   bool operator!=(const RefCountedPtr& other) const {
     return value_ != other.value_;
   }
-  bool operator!=(T* other) const { return value_ != other; }
+  bool operator!=(const T* other) const { return value_ != other; }
 
  private:
   T* value_ = nullptr;