lavar, cortar y peinar in non-reflexive form

Hola AA

This is because when you go to the hairdresser's these are used as types of "services" so you often use them as infinitives on their own as in specifying which service you would like, instead of using them with the reflexive pronoun:  Me gustaría lavarme el pelo, cortarme el pelo y peinarme el pelo. 

You may also see them advertised with their prices, as, for example:

Lavar:  15 euros

Cortar:  30 euros

Lavar y cortar:  38 euros

Peinar:  25 euros

As some of the different services they offer at the hairdresser's and their prices.

I hope this clarifies it.

Saludos