Admins/Mods can delete posts, but CCB is a Leader so it's not possible, AFAIK.
Deleting is designed a bit oddly on this site. Someone flags a post and admins/mods get a flagged message notification.
When you go in there you get the option to Delete, agree with flagging or disagree with flagging.
The problem is that if you think "Yeah, I agree with this" and hit 'agree with flag' then you only get the option to hide the post. However, if you click 'Delete' it then asks if you want to also agree with the flagging.
I have no idea how they came up with such an over-complicated system. Quite like the idea of Deleting but not agreeing with the flag. "Yeah, we're going to can this post but your reason is completely wrong".