It varies a lot. You're better off trying out a bunch.
My LTD EC-400VF is like 9-10 pounds. Don't know exactly, but it's heavy. But I also had a non-FT EC-401 at some point which was abnormally light. Must have been like 6 pounds. I mention that one because it was a standout LTD I've owned both in tone and playability, but I also had a decent EC-1000 (also non-FT) that must have been in the 8-9-ish lb range. For reference, my Les Paul Tribute is like 8. But my Les Paul Tribute is as thick as a Studio, which are thinner than a Standard/Classic, and it's weight-relieved, which my LTD isn't. The newer LTD FT models are weight-relieved as well. I think the E-II FT EC isn't weight-relieved, so I'd expect it to be heavy as well.
I'm pretty sure they don't use the same species of Mahogany for the LTD's compared to ESP or E-II's either. E-II use nicer African Mahogany, which is different from what Gibson use as well. "Nicer" Mahogany is normally lighter, as opposed to heavier, like someone was mentioning in the other thread. But everyone will have a different opinion there, I'm sure. And there are good guitars both heavy and light, IME.
So there's a bunch of factors that go into play, which, like I said, makes it a safer bet if you try out a bunch before you buy.