My parents want to send my boyfriend to jail for rape. What can I do to stop them?

He should ask a lawyer, many people here have quoted Utah Criminal Code 76-5-401, but not 76-5-401.1 (emphasis added):

76-5-401.1. Sexual abuse of a minor.

        (1) For purposes of this section "minor" is a person who is 14 years of age or older, but younger than 16 years of age, at the time the sexual activity described in this section occurred.

        (2) A person commits sexual abuse of a minor if the person is seven years or more older than the minor or holds a relationship of special trust as an adult teacher, employee, or volunteer, as described in Subsection 76-5-404.1(1)(c)(xix) and, under circumstances not amounting to rape, in violation of Section 76-5-402, object rape, in violation of Section 76-5-402.2, forcible sodomy, in violation of Section 76-5-403, aggravated sexual assault, in violation of Section 76-5-405, unlawful sexual activity with a minor, in violation of Section 76-5-401, or an attempt to commit any of those offenses, the person touches the anus, buttocks, or any part of the genitals of the minor, or touches the breast of a female minor, or otherwise takes indecent liberties with the minor, or causes a minor to take indecent liberties with the actor or another person, with the intent to cause substantial emotional or bodily pain to any person or with the intent to arouse or gratify the sexual desire of any person regardless of the sex of any participant.

        (3) (a) A violation of this section is a class A misdemeanor, except under Subsection (3)(b).

        (b) A violation of this section is a third degree felony if the actor at the time of the commission of the offense:

        (i) is 18 years of age or older;

        (ii) held a position of special trust as a teacher or a volunteer at a school, as that position is defined in Subsection 76-5-404.1(1)(c)(xix); and

        (iii) committed the offense against an individual who at the time of the offense was enrolled as a student at the school where the actor was employed or was acting as a volunteer.
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