Beta testing usually takes a while!
The amount of time it takes depends on how long it takes (each beta tester) to run as many senarios as possible, to solve every puzzle, get many events (not sure how many LDW requires), and getting as many glitches out as possible. They need to check the graphics, the puzzles, the events, the emergence, etc. There are a lot of factors that go into this process. Then for any glitch that is discovered, they have to fix it.
It could be soon... it could be months....
One thing you can count on, they will do a GREAT JOB!!