
That their family was cursed. The white haired guy's family has an object that can reveal the past but can only be used by the King's regas. They try to make someone from their family, for ages, to become the King's regas so they can use the said object but always failed.
While the curse of the blond man's family is that they'll be obsessed with the King's regas. They'll fall in love with the King's regas but can't have them, so they can only surround themselves with someone that looks like the King's regas but can't really be satisfied.
So the white man theorized that, since the blond man surround himself with blond and green eyed boys, the regas must also has blond hair and green eyes.
Can someone explain what that blond and Duke was talking about?