When you go into Begoniax's mirror, you come out of a cauldron. When you go into Razoff's mirror, you come out of a stone arch. The mirrors are "entry" portals, and the cauldron and arch are just random places where the mirrors chose to manifest their powers. The mirrors can take you to the general area you want, but need a random place like the cauldron or arch to pop you out of.
Razoff might have jumped away from Begoniax and into the mirror, and escaped into Polokus knows where, but I like to think that Begoniax kept him as a sort of sex slave and went on to have his children.
BTW, am I the only one who thinks Razoff looks like the people in TAS?