Though Mo Huai and his family were chased out of the Mo family, they were actually just asked to leave the house instead of being kicked out of the family. Bai Youran and Mo Yunhao were still considered part of the Mo family.
They were staying at another house under the Mo family. Though they had less contact with the outside world, their freedom was not restrained. The Mo family would give each of them some allowance every month.
Maybe this was the advantage of being born into a big family.
Bai Youran had been forgotten by the Bai family. The Bai family had totally abandoned her, and they would not support her anymore. Even her mother Zheng Min stopped caring for her after knowing that she was not her real daughter.
Now she was totally dependent on the Mo family's allowance to survive. Without this money, she might have food to eat. But besides that, she had nothing left.