In order to assess immigration eligibilities, options and strategies, significantly more information would be needed about your husband and about you. There really is no substitute for consulting with an immigration attorney who, after learning all of the relevant facts, could provide answers to your question and, if feasible, could offer legal representation for the application process.
There are two processes that might be available: consular processing with an extreme hardship waiver or adjustment of status in the U.S. Which process he can use depends on a number of factors, such as method of entry, previous immigration filings, etc.
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