Earlier quoted context omitted.
Pollution capable of completely killing the dominant species of a planet would last a long time after the creation of that pollution ended. The pollution would vastly outlive the polluters, so it would be detectable for some time after their demise, especially if anything they automated also polluted. That stuff would continue to pollute after its creators all died, at least a bit. Also, it seems that the chance of d…
Why would the pollution vastly outlive the polluters? It's not obvious to me. Mixing and recycling timescale of an atmosphere seem very short compared to other relevant timescales of the problem. Impactors, volcanic eruptions... the memory of the atmospheric impact of those events is in the sediments, not the air we breathe (e.g. KT boundary). Finally, civilizations that do not destroy themselves in the short-lived p…
Pollution doesn't vanish when it isn't being made anymore.
So, if there is so much pollution that it both kills life on the planet, it will take a good amount of time (millions of years? How big of a planet are we talking about?) to be cleansed back to undetectable levels.