1) The Great Invite Mystery is still being worked on. Because it does not affect all social groups and is difficult to replicate when moderators log into the groups, it is hard to solve.
2) Social groups are not being moderated. One social group discussion suddenly showed up in a public search, and several posts on it was reported. A moderator deleted the posts before realizing that they were actually in a social group, not in a public thread. The permissions were immediately reset. That appears to have been a one-time occurrence related to a board software upgrade and should not happen again. We apologize for the misunderstanding and would appreciate your patience as we work on the remaining issues.