Oh, the horror!
Heck, my old boxes weren't even recycled...They were thrown right into the trash with all my other cardboard and garbage which is burned as fuel at the local transfer station to heat water and generate steam, turning turbines attached to generators and sending electricity back into the grid.
On the other hand, had they been "recycled", they would have gone to the recycling plant which draws a large demand on the electrical grid, requiring more fossil fuels to be burned at the power plant to account for the lack of power re-generation at the transfer station.
Throw them away! You are helping the environment.