Good day. My name is Jon. My oldest sister has .. exact same situation.. and I'm seeking same advice. Her ex also was/is Jordanian (Amman, JO). He received his degree in IT, and left after his 9 yrs/green card. He left with no forwarding info, re-settled and remarried in his country (according to sources), even though still legally married in USA.
Since he is back in his country, she was told it falls under international jurisdiction and that he was still entitled division of property laws, etc., (even though she has nothing and he's never inquired) that she'd have to come-up with estimated $1800 to get divorced from him. She said that she can't apply/receive social security, disability, etc. until she divorces him on paper.
I'm trying to do as much research as I can for her. I think she was given false/inaccurate info from the legal research before. I could be wrong, it just doesn't make sense that since he left ( late '80s) with no contact since, that she should be able to file on her own ( affordably) without any loopholes or dormant, int'l red-tape nonsense.
Pray all will be answered for us, and good luck to you.