diff --git a/flask/app.py b/flask/app.py
index 02d470ed..da1998c6 100644
--- a/flask/app.py
+++ b/flask/app.py
@@ -421,9 +421,8 @@ class Flask(_PackageBoundObject):
         #: A dictionary with lists of functions that should be called after
         #: each request.  The key of the dictionary is the name of the blueprint
         #: this function is active for, ``None`` for all requests.  This can for
-        #: example be used to close database connections or getting hold of the
-        #: currently logged in user.  To register a function here, use the
-        #: :meth:`after_request` decorator.
+        #: example be used to close database connections. To register a function
+        #: here, use the :meth:`after_request` decorator.
         self.after_request_funcs = {}
 
         #: A dictionary with lists of functions that are called after
@@ -791,8 +790,7 @@ class Flask(_PackageBoundObject):
 
         It is not recommended to use this function for development with
         automatic reloading as this is badly supported.  Instead you should
-        be using the :command:`flask` command line script's ``runserver``
-        support.
+        be using the :command:`flask` command line script's ``run`` support.
 
         .. admonition:: Keep in Mind