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This type of rule comes up in ordering games where all your variables are used exactly once and there are no ties. It will look something like this:
Alfred arrives before Brad or Alfred arrives after Caitlyn but not both.
Remember that "or" on the LSAT is generally inclusive (can have both) unless specified like it is here.
So the "or" portion of the rule tells us we need to have one or the other of these orders happen (so we can't have neither of them.) The but not both tells us we can't have both of them happen.
Both would look like this: A before B and A after C so: C - A - B
Neither would look like this: A after B and A before C: B - A - C
So basically A cannot be in between B and C. It cannot be the filling in the sandwich.
That means A must either be before both B and C or after both B and C. Depending on the other rules you may be able to make two quick ordering chains and get through the questions pretty quickly.
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