"First it was hiding. Not being discovered. And after hiding became easy, there was Angel. Somehow, Angel became more important than running away." (9.145)
The thing that really sets them free in the end is the secret with the angel. Instead of returning to their captors, they feel like they're coming back different people, with a secret tucked safe inside. Claudia and Jamie have all the freedom in the world, even if no one else can tell.