I just received my conditional green card. It was approved after I was convicted of a misdemeanor in California (it is definitely a crime of moral turpitude but qualified under petty offense exception). I was convicted about 2 years before I received my condition green card. So my question is, can I travel internationally with this conditional green card? Also will I have a problem 2 years later, when I try to file I-751? I know I will still have to prove bona fide marriage, but question is specifically about the criminal issue. Any advice will be greatly appreciated.