How did Liah manage to stay alive in Shadar Logoth from the time she got lost in LOC to the end of ACOS?
"She became absorbed into the city. She was left there and she is, after all, an Aiel, one of the people better at surviving under harsh circumstances than anyone else in the world. And also her corruption by Shadar Logoth gave her *some* protection." [America Online chat session, 27 June, 1996]
What happened to Liah was probably akin to what happened to Mat when he carried the Shadar Mandarb in TEOTW. Her behavior (attacking all comers) supports this belief. I guess that being bonded to Shadar Logoth must give one some protection from Mashadar, although obviously not enough, since it got her in the end.