Remove recent from logging cookbook (GH-9636)

diff --git a/Doc/howto/logging-cookbook.rst b/Doc/howto/logging-cookbook.rst
index 285aff7..83c2d49 100644
--- a/Doc/howto/logging-cookbook.rst
+++ b/Doc/howto/logging-cookbook.rst
@@ -721,9 +721,8 @@
 includes a working socket receiver which can be used as a starting point for you
 to adapt in your own applications.
 
-If you are using a recent version of Python which includes the
-:mod:`multiprocessing` module, you could write your own handler which uses the
-:class:`~multiprocessing.Lock` class from this module to serialize access to the
+You could also write your own handler which uses the :class:`~multiprocessing.Lock`
+class from the :mod:`multiprocessing` module to serialize access to the
 file from your processes. The existing :class:`FileHandler` and subclasses do
 not make use of :mod:`multiprocessing` at present, though they may do so in the
 future. Note that at present, the :mod:`multiprocessing` module does not provide