CO2 dry cleaning what is the process
Like aliphatic cleaning solvents such as hexane, both liquid and supercritical $\ce{CO2}$ are effective solvents for fatty stains. According to Green America, though, "[L]iquid CO2 is pumped into the mix. Clothes are rotated in a cycle that lasts five to 15 minutes at room temperature."

The phase diagram for $\ce{CO2}$ shows that it is a supercritical fluid above ~300 K, just above room temperature, at ~80 kg/cm2, so that it may be either liquid or supercritical during the cleaning. However, at the end of the cycle, "[T]he liquid CO2 is pumped back into the storage tank, to be reused again, if possible. The remaining CO2 is released in the air." That implies a bit of a pressure drop at the end, with concomitant adiabatic cooling.