I am bad for my liver.

It’s metabolized by your liver, so is fat. It has a safe and therapeutic dosage range.

Can’t ibuprofen also damage your liver?

Aspirin is bad for your liver as well, especially for kids. It disrupts the electron transport chain in the Krebs cycle which leads to fatty acids not being converted and since they don’t belong into the mitochondria, they are expunged into small deposits in the liver. It’s called microvesicular steatosis, or more commonly called fat liver.

Ibuprofen (or NSAIDs in general) is bad for the liver as well and worse for the kidneys.

Edit: confused kidneys and liver.