Continuity mistake: This mistake really applies to two episodes in season 1. In The Bracelet, Larry is approached by a homeless man who thanks him for the Chicken L'Orange. As a result of this (and his unkempt appearance), the women at the jewelry store will not buzz him into the store. The mistake is that Larry doesn't give this man the Chicken L'Orange until the 7th episode, AAMCO. And it is not just that the episodes aired out of order. Because in the episodes between these two, there are references that show that this IS the correct order of this season. So this becomes a circular reference that can't possibly exist.
Continuity mistake: At the bowling ally, when Larry's wife picks up her shoes, the man behind the desk hands her 2 black shoes. As they are leaving, Larry's wife is wearing white tennis shoes. When they arrive at home, she is wearing the black shoes again.
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Continuity mistake: At the beginning of the episode after Mary takes her shot at the bowling alley, the shot shows the scores on the screen. It shows Larry is in the 10th frame, with a strike on his first shot and a 7 on his second, with only a spare conversion of 3 pins left. Larry then says he needs a spare to win. When he goes up to shoot, there is a full rack of pins and he gets a strike, instead of shooting at the 3 pins that should have been left for a spare conversion. Also, when bowling on 1 lane as a group, you bowl 1 frame at a time. After Mary shoots, Larry should have had a full 10th frame without any shots.