They are not legally married
Common law marriage: legal precedent going back centuries. No rings, no ceremony, no certificate, no signatures. Legal standard is two people cohabitating in an exclusive, committed, extended manner. That this is still a current binding legal principle is proven by court-enforced "palimony" settlements.
Reverse of the legal argument. Citizen "marries" non-citizen. Proof of marriage: they exchanged rings, they have a signed marriage certificate. Is that adequate proof of real marriage? Nope. ICE can still deport non-citizen "spouse". Sole legal standard is cohabitation in committed, long term intimate relationship.
Clark and Lois stood up before witnesses and declared their intention. That's the essence of marriage; always has been. Rings are a nice bit of the ceremony, and these days it's expected. It isn't what makes a marriage.
What makes a marriage is the public declaration. Clark and Lois did that.
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