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Basic Trope: It's the sleazy motel that rents rooms by the hour. The clerk doesn't ask what for, and doesn't want to know. The scene of various criminal activity, or at the very least, affairs.
Straight: Bob goes to the No Tell Motel to cheat on his wife and do drugs, or Alice visits the No Tell Motel to investigate a crime that took place there.
The No Tell Motel has, among other things, a recreational drug vending machine, a directory of sex workers, and even more outrageous things, is styled to look as over the top as possible, and yes, advertises via matchbooks.
Downplayed: The inexpensive hotel is clean and safe from crime, but the staff don't pry into anyone's personal life. If Bob and his lover don't disturb the peace or wreck the room, nobody takes much notice of them.
A story set in the 1930s-1980s, where such motels were far more commonly used and when they were found in such ways.
In more modern stories: The criminals / dealers / prostitutes / cheating couple are too poor to afford something better and more wholesome-looking.
In more modern stories: The people involved see getting involved at such places as a fetish, or a Shout-Out to the nostalgia of the past.
Inverted: The No Tell Motel is actually the most crime-free, safe place to stay in town - all of the really dangerous criminals stay and conduct their business in far better places.
Subverted: The couple or the criminals are using places that are of higher quality and taste.