Your community, as in the community you moderates? Yeah it makes sense.
From what I've heard, moderators (and admins probably) can see deleted posts, as this scenario did happen to my post in the communities I moderate. Fortunately, only moderators, admins, or anyone with your posts' link before it was deleted could potentially see your deleted posts.
That's why it's recommended that you edit your post title, description, and url/images to "deleted by creator" or similar when deleting your posts, as moderators can't undo edits.
Why'd you run anyway?