If I purchase bitcoins via p2p, can I get some problems if the bitcoins I get were involved in some criminal activity ? If yes then how do I avoid such situation ?
If you use a platform that supports P2P like Binance, I guess that won't going to be a problem since every user must be verified before they can use such feature. So, the platform itself knew you weren't involved because you are another different person/user verified, and it's not gonna get you in trouble.
I like the question, though it has been asked several times but like most of them everyone wants security when it comes in purchasing Bitcoin.
Those p2p sellers also bought btc right? And I think they won't investigate if where the btc comes from before they buy it, that is why the btc that they can sell are already been infected by the btc used by criminals but since you are buying if from someone else or from a verified person, you won't get blamed for that if ever someone will question you that your btc looks suspicious. It was not your problem anymore so don't worry that much.
Usually when a criminal sells their btc, that would be in larger amounts and in almost exchange you will be ask for kyc if you are selling with bigger amounts so no criminals are safe there. That is why it's also safe to buy btc in those kind of exchanges.