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Well, you can hold hands and kiss and stuff without being monitored but if you so much as pop a boner you get slapped with a red bracelet. You can ask for one ahead of time too, but that lets you do everything but penetration.
[He holds up a hand to show the blue band on his wrist.] It's not a huge pain but you can get one of these after going through a process with the wardens and that lifts any ban on you and your designated partner.
And, yeah, they don't want baby prisoners. So a "mating" couple would have to be sterilized. It's all laid out in the rules if you're super curious.