The gemarah in Yevamos (78b) says "mamzer eino chai" (A mamzer [who is not known, look later in the daf] doesn't live [for more that 12 months] so not to proliferate mamzeirim).
However, the Gemarah in Kiddushin (72b) say that if not for the din "Keivan shenitmaa nitmaa" (a unknown mamzer is considered Kosher) when Eliyahu would come, he would take out bunches and bunches of mamzeirim who were lost within the Jewish people.
My question is how could there be so many of them if they should have died as soon as we lost track of them?