The short answer is "as quickly as we can." Sometimes it can be seconds. Obviously sometimes longer, but we know that people are coming here for help, so we get things posted as quickly as we can.
For what it's worth, your post in the AE Expressions forum went up in less than an hour. Your account is no longer moderated, so anything else you post after this should go up immediately. Please let us know if that's ever not the case!