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Generally, a requirement for a K1 visa to be approved, is for the petitioner and foreign fiancee to be able to legally married in the US within 90 days from the entry of the foreign fiancee into the US.
In Nevada a minor child who is over 16 can legally get married with parental consent, so as long as, both parents also include notarized letter stating that the parents will consent to the marriage of their 17 year old daughter and also if the parents of the 17 year old submit an Affidavit of Support for the foreign fiancee, generally such K1 application would meet the requirements as far as the minor child issue goes.
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