The phrase "covered with hair" can be substituted by many synonyms, depending on the context. For example, terms such as "hairy," "furry," or "shaggy" could be used to describe an animal or person's physical appearance. Another option is "coated in fur," or "maned," which can describe a lion or horse's majestic appearance. Additionally, "hirsute" is a word that can be used to describe an individual who has an excessive amount of hair on their body. Finally, "woolly" or "fluffy" are synonyms that can be used to describe a soft and cuddly look, commonly seen in dogs or cats. In conclusion, there are many synonyms that can be used in place of "covered with hair" depending on the context.