According to Guide to Naturalization, some of the conditions to apply for naturalization after 3 years of being PR is that a person applying
"1. is currently married to and LIVING with a U.S. citizen
AND
2. Has been married to and living with that same U.S.
citizen for the past 3 years
AND
3. his/her spouse has been a U.S. citizen for the past 3 years"
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