Remove: Comments are closed.

I have disabled comments in posts. However, it displays "Comments are closed." which is not appropriate, so I want to remove it.

Viewing the source code for the post, I see this line:
<p class="comments-closed"> Comments are closed. </p>

How do I use the child theme capability to remove this comment?

Also is it possible to remove the date and name of the poster from the top of the post?