See image below for how ozone destroys odors by oxidation. Ozone reacts with a foreign odor to change is composition so it is no longer the same odor. A new molecule is formed but this new molecule is typically less odorous that the original one.
Odor Destruction with Ozone is one of the best uses for ozone in the market today. Millions of people enjoy odor free homes & apartments due to the safe use of ozone!
When ozone makes contact with the odor molecule, the odor is destroyed but so is the ozone molecule. Stronger odors mean more odor molecules present - this means more ozone is also needed.