JKSManga
Well I can see Logan managing but if he was the same one I think he wouldn't be the world leader. So my guess a descendant or Logan has been slipping in and out of society watching the world from the shadows like Eno did. Doubt the Graylash leader is Owen he is still human after all. Though if he is alive that gives hope for the Vampire gang.
So either it hasnât been as many years as the human population thinks which would seem extremely hard to pull off or logan probably figured how how to perfect the cloning process and thus has just been moving his conciousness to a new clone every time he needs to cause I think even if he was turned it wouldnât allow him to live that long or other possibility itâs his decendent who is just named after him