Incorrect.
Activated carbon adsorbs, which is different that absorption. Adsorption grabs certain molecules and holds it for a period of time before it is released back into the air.
And another problem with all of the these filters is that they use finely granulated activated carbon, which gets disbursed into the air. The very same material caused serious problems with fighter pilots, who would cough up black goo after flying with activated carbon filters used in newer jets.
This is also why they put the carbon layer AFTER the actual white filter media. When they put it before the activated carbon, the filter media would get clogged by all the carbon.
Activated carbon is a complete fraud. But, people buy it, and so they keep making it.
Here’s an article from the military explaining why they stopped using these filters in the F-22: