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I am very sorry to hear about this situation. Yes, of course, you can sponsor him. He had his greencard taken away for residing abroad too much, but that does not mean that he would never reapply. You can file an I-130 for him, requesting a new greencard based on marriage. See HERE for the instruction on how to do so.
The process wait time normally takes about 6 months.
(PS I assume you are a US citizen. If not, reply and let me know as my answer will change, then.)
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