The word "fraudulently" is doing a lot of heavy lifting here. As I understand it, the bar to get into "fraud" territory is actually pretty far down the spectrum

The word "fraudulently" is doing a lot of heavy lifting here. As I understand it, the bar to get into "fraud" territory is actually pretty far down the spectrum. Dating people and limiting people you go on dates with the "US Citizens" because you want to be able to actually have a life that doesn't involve one/both of you being deported is 100% not fraud, or illegal. If you main reason for having a relationship with someone is to get a green card, but you still have a bonafide relationship with that person, it is not illegal. It may make you a shitty person, but it's not illegal. A conspiracy to lie to USCIS about your relationship, which typically involves purposely arranging and/or fabricating evidence of a relationship *is* fraud, and is definitely illegal.