What did Bai Jiaxuan do to apologize to Lu Zilin at the end of White Deer Plain?

At the end of White Deer Plain, Bai Jiaxuan did something sorry for Lu Zilin. Here's the thing. Bai Jiaxuan thinks that he stole Lu Zilin's life, because Bai Jiaxuan lied and bought a treasure house of Feng Shui from Lu Zilin's family, which led to Lu Zilin's descendants not having a good future, but became provincial officials.