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Because the divorce was filed one month after your conditional green card was approved, that's evidence that the marriage may have been fraud. When you apply for U.S. Citizenship they ask you about your marriages and divorces specifically to find out about situations like this. If you filed a regular I-751 and your marriage was falling apart, especially since you said at that time you were living apart, you had a chance to amend the I-751 and make is an I-751 waiver explaining that the marriage was real but just fell apart. This happens and USCIS has a way to process such a case and still give the person a 10 year non-conditional green card. Here is the official link:
If You Are In Divorce Proceedings But Are Not Yet Divorced
If you are still married, but legally separated and/or in pending divorce or annulment proceedings, and:
- You filed a waiver request. We will issue a request for evidence (RFE) specifically asking for a copy of the final divorce decree or annulment (if applicable).
- You filed a Form I-751 petition jointly. We will issue a request for evidence (RFE) specifically asking for a copy of the final divorce decree or annulment and a statement that you would like to have your joint filing petition treated as a waiver.
Upon receipt of the final divorce decree or annulment within the specified time period, we will amend the petition, to indicate that eligibility has been established for a waiver of the joint filing requirement based on the termination of the marriage.
Since you did not do that, they are going to assume that your marriage was fraudulent. So I would either avoid applying for naturalization, or if you really have to have it because you want to petition for relatives or something, then you should use an attorney. You can look for one at www.ailalawyer.com. You are going to have to prove that your marriage was real but just fell apart and that you did not intend to commit fraud by going forward with an I-751 when you should have changed it to an I-751 waiver.
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