how does a stolen credit card investigation work?

My credit card was stolen. I reported it. There are aboyt 0 in charges, all made from spots in my area that I do go to but not very often. How does the investigation work and how can I prove that even though the card was swiped at places I go to that I didn’t use it?
Pojo – It’s really a check card that you can swipe as either debit or credit. As for the signatures the account looks like it was used for gas and fast food , gas 3 days in a row which is really weird.

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