It doesn't look as though you have analyzed any of your games yet. Analyzed games have a little computer monitor and tower next to them to show they have been analyzed. It's not an automatic process. Go to one of your finished games by clicking on view game. Now in the upper right hand corner just under the blue "result" square you'll see a list of 4 or 5 things you can do: request rematch, add to friends list, etc. One of those things you can do is "computer analysis". Click on it and a message comes up something like "we've received your request and this may take a few hours". It usually takes about 10 minutes and then you get a message from chess.com that your games is ready. As a platinum member you can analyze up to 25 games a day. They are stored in your archive just like any other game and as a premium member they should be stored permanently. When you go back to look at an analyzed game there will be a little check mark next to "computer analysis". Hope that helps. I'll see if I can find something in the FAQs that explains it more eloquently...
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Please I want to know where the analyzed chess games are and how long I can see them