This thread is for asking any questions that might seem obvious, tangential, silly or what-have-you. Don't be shy, everyone has holes in their knowledge, though the fewer and the smaller we can make them, the better.
Please be respectful of other people's admitting ignorance and don't mock them for it, as they're doing a noble thing.
To any future monthly posters of SQ threads, please remember to add the "stupid_questions" tag.
Time, legal risk, reputation. The opportunity cost is lower if you were going to marry a random/non-specific person anyway, but I'm assuming you're asking about a sham marriage that you're going to end later.
Time: sure.
Reputation: Actually, I think going above and beyond for a stranger in need is pretty strong signalling of my Altruism, especially among the communities I walk through.
Legal risk: This is what I want to hear about. What legal risks?
Maybe, but I don't see any particular reason to get a divorce except 1) the refugee in question wants to marry someone else or 2) so I can go marry another refugee.