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Post Deletion: make a mistake on your post; delete it and repost it again!
The way 4chan(nel) does it is setting a cookie in your browser unique to your post.
By clicking on the checkmark next to the subject line or name used (usually Anonymous), you select a post for deletion.
Scroll to the bottom of the page with a post selected and delete it! You can select to delete a file only, keeping the text or to delete the post entirely.