Why are all my answers being hidden? They show up when I'm signed in, but not when I'm signed out.?

As your account is on private then it's impossible for anyone here to advise you either way.

Post a pastescreen of one of your answers or post the contents of the answer (including the source link field) and the link to the question concerned and you may be able to get advice.

Also how many times do you post the same links?

As . says there are filters in place to weed out spammers. It is doing a reasonable job of making website promotion attempts harder to do, but I have seen one example (a girl answering Chinese translations answers) who has been affected and shouldn't have been though.

You may be legit but it does seem strange to be checking your answers when logged out.l That's usually a tactic that spammers take to work out why clicks/SEO is not increasing despite their best efforts.

One possible reason is including links in many of your answers. There's a system in place to auto-hide potential link spammers.

Check the answer sequence. It may be different when signed in and out. If sorted by "relevance" some answers can be hidden at the bottom of the list when the computer thinks they are not relevant. The other sequences are rating, newest, and oldest.