The terms of a particular sequence are determined according to the following rule: If the value of a given term t is an odd positive integer, then the value of the following term is 3t -9; if the value of a given term t is an even positive integer, then the value of the following term is 2t -7. Suppose that the terms of the sequence alternate between two positive integers (a, b, a, b, ... ). What is the sum of the two positive integers?
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