The liver filters toxins from the bloodstream, so presumably anything that enters the bloodstream will be processed by the liver.

A small, exclusive lecture was held at my school where a chemical engineer and cannabinoid researcher with several farms came to talk to us about cannabinoids and cannabinoid processing. It takes similarly high doses of CBD and ibuprofen to damage the liver. You're not going to experience liver damage from 50mg of ibuprofen or CBD. This article is decent.

If you don't OD yourself on either, you're going to be fine. My point was that CBD is mostly a placebo (especially the "feeling of calmness") and not a magic drug that cures every disease. Other cannabinoids have much more potential and should be researched further.