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Typical prostitution criminal code basically defines several sexual related terms, usually "sexual intercourse," typically straight penile/vaginal sexual activity, and "deviant sexual intercourse," basically something more involved than mere "sexual contact" as described, but which doesn't qualify as straight penis/vagina sexual intercourse.
Regardless, most prostitution statutes are gender neutral now, so "deviate sexual intercourse" applies to both same sex and different sex "unions" and "sexual contact," usually touching of clothed or unclothed sexual organs or female breasts with the purpose of eliciting or gratifying sexual desire of one of the parties to the incident.
All prostitution charges are then specified referring to these terms, as defined in the criminal code. The prostitution statute under such a code would prohibit sexual intercourse, deviate sexual intercourse, or sexual contact for "valuable consideration," meaning, "receipt of cash, property, or valuable services (other than the sex) by one of the parties involved."
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