It might be a good idea to live with him for a while before you apply. CIC will assess the nature of your relationship. as others have said, you have a few red flags that you will need to address (again - I'm not saying that your relationship is not genuine, etc, I'm trying to give you elements to prepare better). If you read the forms for the sponsorship (and I suppose that if you have done it for your first husband you are familiar with them already), you will see that you will need to prove to CIC that you are in a genuine relationship. Because of the previous sponsorship, CIC will be extra cautious about this one. Also - you can not sponsor another person before 5 years. which in your case should be almost OK. so - if you go and live in Libya, you can get married there (once the divorce is done), and get more proofs about your current relationship - it will make the process much easier. You will need to prove more than the "normal couple" as it's the second time you sponsor somebody. Make sure you keep proofs of your relationship, emails, phone, etc. And weigh your options and see if living in Libya for 6 or 9 months with him ( not sure you can do that before being married given the social context in Libya) would be an option - it would certainly make your case stronger (2 weeks together might not be enough to convince CIC).
Your situation is a bit tricky, but not impossible.
Good luck,
Sweden
iNCLUDING 2 BEAUTIFUL GRANDDAUGHTERS ,wHICH BY THE WAY ARE NOT THE KIDS OF MY FORMER HUSBAND ,they are my Children