Solution

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The 8 and 9 could only be in the third or the second envelop from the right. However, 9 being in the second envelop from the right is impossible becuase that would mean 8 is in the third envelop and which means both envelops must have the 5 in them, which is impossible! The rest will fall into places easily.

2 7 9 8 0
5 1 4 6 3