Your best bet is probably to file married/joint and you should still be able to receive the EIC. Whether you will actually receive it, and how much you receive, will depend on how much income you and your husband have.
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Your only two choices are to file as married filing jointly or married filing separately. It is usually a good idea when you have a question such as yours to prepare the tax return both ways and then file the return that gives you the best combined result. By the way, if you are paid cash it is still taxable income.
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