Cetyl Alcohol is a fatty alcohol. It’s responsible for making your skin soft and improving product thickness. It makes the product easier to apply and feel richer. Though it contains the word “Alcohol” in its title, the component doesn’t belong to harmful alcohols. That’s why a product with this component can still be marked as Alcohol-free. Usually, manufacturers receive this component from coconut or palm oil.
Fragrance is a mix of chemical ingredients (usually 20-30 chemicals but up to 200 sometimes) that help the product to smell better. It can hide many bad things. Synthetic fragrances may contain many different chemicals, but manufacturers don’t want to reveal each of them for some reason and hide them behind the word "Fragrance".
Chemical fragrances can lead to irritation or cause allergic reactions. Fortunately, the fragrance is usually located at the bottom of the list meaning its concentration is low. If you see it at the top, it’s a bad sign… It's a good idea to test the product first in this case.