I am not sure it is possible to make this work...that is my honest opinion, but that doesn't mean you can't try. I certainly would not move in together and I would casually date and explore it all and see how it feels. I worry that you will always be looking for dishonesty and any hint at it he will shut down and shut you out. I would keep the lines open and keep talking but take some time to date and just spend easy time together without rushing or forcing anything. That is your best chance to see if something could work.
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