Login | Logout isn’t Dynamic?

I thought this plug in option would show one or the other depending if you are logged in or out What will allow for that currently it shows them both at the same time. Is there a way to make it dynamic to show one or the other when base on login status? So when they are logged out it shows the log in and when they are logged in it shows as they can log out?

The page I need help with: [log in to see the link]