I appreciate that they moved this part of the plot along so quickly, but these guys are bad at their jobs. Like, we go straight to 'secret peeping mirror in the baths' before anybody even considers 'my wife saw your wife in the baths'.
I have pretty significant doubts that the guys who installed a magic peeping mirror in the bath house are fighting for gender equality, for some reason. Joking aside, I suppose the mirror was probably being used to pick victims for the abductions. They did make a point of saying small cases can be connected to bigger ones, and then the dude there said his deal about real goals and what not.