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Bob dates Alice, a woman from his hometown, and marries her.
Bob mails himself to Valentina.
Gender Inverted: Alice purchases Ivan over the Internet.
Bob brings Valentina to his home, but mentions nothing to her about marriage; in fact, although he met her online, they met through an actual dating site or social-networking site, not a Mail Order Bride site.
Valentina decides she's not happy or any better off with Bob in America, and heads back home.
Valentina is held up due to complications with paperwork.
Averted: Bob doesn't order a bride online or through a catalog.
Enforced: "Let's show what a Hollywood DatelessStraw Loser Bob is! I mean, no one in their right mind would order a wife over the Internet unless he were really desperate, right?"
Lampshaded: "Check out my new wife. She's from Russia; I met her through Buy A Lovely Bride Dot Com."
Invoked: See "Played Straight"
Exploited: A scammer sets up a "Russian Brides" website, but there are no actual brides; the idea is to have losers send their money and get nothing in return.
Bob decides he isn't that desperate, and decides to tough it out on the dating scene a bit longer.
Valentina refuses to come home with Bob, for whatever reason(s).
Deconstructed: Valentina could be deported, as the agency may not be scrupulous about getting those Fiancee Visas in order in a timely manner if at all. She could also be in danger if Bob turns out to be abusive.
Reconstructed: The agency gives Valentina a Fiancee Visa, and makes sure that both parties understand that if things don't work out, divorce is always an option. They also screen both the women and the men, to make sure no one has a criminal record, or a tendency towards Domestic Abuse. Everyone enters into this like an otherwise normal Arranged Marriage.