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The answer is yes, she still does. Her marital rights are still inherent even if she has no immigration status. However in a divorce, if she cannot be found and/or if she is served abroad but does not answer, and/or if she is served by substitute service and does not answer, then someone in your situation can get a DEFAULT JUDGMENT and refinance into your name only with the help of a court order in most cases.
Without a divorce, this is harder to do, since she is abroad. If she is in agreement with the refinancing into your name only, she can either sign the paperwork ABROAD, or, provide you with a POWER OF ATTORNEY
to sign on her behalf.
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