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trading bitcoins with no verification

You can use services like Exodus they are very cheap and secure.

Some say Binance, but I don't trust it, stories telling they request KYC at any time you can't rest assured they don't.
 
I havne't used them, but Agoradesk allows you to trade peer to peer with escrow. Some sellers require KYC, and some don't - they'll typically say in their profile. Expect to pay higher fees from the sellers than the big exchanges for the service