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One example of not so much Getting Crap Past the Radar as the radar being switched off completely was in the pilot episode. When told by Garret and Roland not to kiss a possessed Kylie, Eduardo simply replies "Why not? She's legal!"
In "The Crawler", Janine makes a remark that her relationship with Egon would be easier if love was something he could see in a microscope. We then hear Dr. Spengler say "Interesting. These paramecium are mating!"
In "Casting the Runes", when the team enter Kahlil's dimension, the deity demands to know what happened to his messenger, who was captured by Egon and Janine on the other side. Garrett answers with "You mean Dog Face? He got neutered!"