Just a quick couple of points. The first thing to note is that there are textual variants in Matthew 19:9 that influence the above. In many of the oldest manuscripts, the clause "and whoso marrieth her which is put away doth commit adultery" does not appear. The text makes more sense as an addition in order to harmonise the reciprocal teaching with 5:32 than as an omission. Just so everyone's aware that there's a variant.
But in any case, dealing with the text as you've posted it, again, the clause about the 'whoso' who marries her functions in the same way that the clause in 5:32 does - the scenario in which the man who marries a put away woman commits adultery is the one in which the woman is put away for reasons OTHER THAN FORNICATION (i.e, all the subject matter in this verse except for the exception clause itself deals with a scenario where the exception clause does not apply).
Now, it may well be that a man who marries a woman put away for adultery commits adultery anyway, but that's not what Jesus is addressing - he is saying that a certificate of divorce is not enough to ensure adultery does not occur, and in fact not only do YOU commit adultery in a divorce, whether legal or not, but you actually make the woman commit adultery, and any man who subsequently remarries commit adultery as well.
Now, it may well be that a man who marries a woman put away for adultery commits adultery anyway, but that's not what Jesus is addressing - he is saying that a certificate of divorce is not enough to ensure adultery does not occur, and in fact not only do YOU commit adultery in a divorce, whether legal or not, but you actually make the woman commit adultery, and any man who subsequently remarries commit adultery as well.