Commentary for Ketubot 24:3

מיתיבי הרוצה לעשות כדרך שהכהנים עושין כגון בת ישראל לכהן ובת כהן לישראל עושין בת ישראל לכהן ובת כהן לישראל הוא דאיכא צד כהונה אבל בת ישראל לישראל לא

They objected: If one wants to do as the priests do, for instance [if] the daughter of an Israelite [gets] married to a priest or the daughter of a priest [gets married] to an Israelite, one may do [so]. A daughter of an Israelite to a priest or a daughter of a priest to an Israelite [can do this] because one side belongs to the priesthood, but if the daughter of an Israelite [gets married] to an Israelite, it is not allowed!

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