I see the reopen link on both of them, but I'm not sure if that's a moderator thing.
The first one is silently locked because it was migrated and closing it rejected the migration. No changes to his "migration stub" are possible. The second one was locked explicitly by Shog and the lock will expire in a day or so.
In other words, this isn't a special lock. It's just a couple different cases of posts that happen to be closed and locked.
In the first case, there's also a bug - we only ever show two banners on a question, so "locked" gets lost because there's already "migrated from" and "closed as". I think a fix for that is in the plans. In the meantime, you can see that the question is locked by checking the revision history. (See Seth's answer for screenshots.)