The above support request says it all. I suggest to change the FAQ in the following way:
BEFORE:
You can delete a comment if one of the following is true:
1) You posted the comment yourself.
2) Someone else posted the comment in your journal.
3) Someone else posted the comment in a community journal which you maintain.
4) You, or someone else, posted the comment to an entry you made in a community journal.
Depending on where the comment is, you must be logged in (http://www.livejournal.com/login.bml) as the poster of the comment, the owner of the journal, or the maintainer of the community to delete a comment.
AFTER:
You can delete a comment if one of the following is true:
1) You posted the comment yourself. (You need to be logged in as the author of the comment.)
2) Someone else posted the comment in your journal. (You need to be logged in as the owner of the journal.)
3) Someone else posted the comment in a community journal which you maintain. (You need to be logged in as a maintainer of the community.)
4) You, or someone else, posted the comment to an entry you made in a community journal. (You need to be logged in as the author of said entry.)
You can log in at http://www.livejournal.com/login.bml.