Significantly more information is needed in order to provide a legal analysis of ways your husband may be able to attain immigration benefits, but note that generally a foreign national who entered the U.S. lawfully and with inspection (such as with a visa that authorized employment), and who then became married to a U.S. citizen, may successfully apply to adjust status to become a Lawful Permanent Resident (to get a "Green Card"). This is true even if your husband may have long overstayed his original visa. It would be wise for you and your husband to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.
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