How do atheists get married in Jordan?

I ask because my information on the subject is minimal. Supposing two atheist people want to get married, how do they go about doing it in a country where your birth religion is inscribed in every document, identification material, and any other formal piece of paper you may acquire during your life?

Obviously, Jordanian law does not allow for the choice “Religion: none,” so if that is the case, does it stretch to allow for a form of legal binding between two people who have no religion?

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