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A registration system. Inmates would be able to apply to form a sexual partnership. Permits would only be issued to inmates determined to be emotionally capable of a healthy partnership of that nature, and interested parties would be required to submit to a non-invasive sterilization procedure to prevent reproduction.
In order to prevent sex-motivated crime, an inmate will only be allowed to seek this permit once for the duration of their incarceration and with only one person. It would be a decision akin to marriage, and if the partnership is dissolved, no future ones will be permitted.