What does 1 Chronicles 9:12 mean?

There was also Adaiah son of Jeroham, son of Pashhur, son of Malchijah, and Maasai son of Adiel, son of Jahzerah, son of Meshullam, son of Meshillemith, son of Immer. 1 Chronicles 9:12 - Modern Text Bible

(More priests are listed, each with their ancestry, showing the continuity and legitimacy of the priesthood.)