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Some properties of a finite automaton composed of two weakly invertible finiteautomata with delay 1 are given, where each of those two automata has the output set of eachstate with the same size. And for a weakly invertible finite automaton M with delay 2 satisfyingthe properties mentioned in this paper, two weakly invertible finite automata with delay i areconstructed such that M is equivalent to a sub-finite-automaton of the composition of those two.So a method to decompose this a kind of weakly invertible finite automata with delay 2 is presented.