Disbanded. "Our Duty is done".
Let Solas think I have given up on him. Considering he himself revealed the spies he and the Qunari both had in my organization, it was clear it wasn't going to work out. Besides, my Lavellan never wanted to run a human religious army in the first place. But with more people, there is more possiblity for spies, for attention from other nations, etc. Her primary goal is protecting the elves; The less attention on her and her actions, and most important, the less attention on Solas and everything he has done and plans to do, the better. Disbanding is the best way to draw attention away from what has happened, and hopefully hide the fact that an Elf was, ultimately, responsible for Corypheus.
She wants to talk him out of it. She's in support of returning the Elves to their own people, their own nation, their history and truth, but the way Solas wants to do it is just not going to work.
He awoke to a world gone awry, the same as Corypheus. Corypheus' goals were in no way noble. Solas' are, if rather misguided.