Let's not 'air our dirty laundry' [=discuss our problems, make our problems known] in public.
The company is trying to keep its 'dirty laundry' from being aired/washed in public.
I have to 'do the laundry' today. [=to wash the dirty clothes, towels, etc.]
(..) keep it so neat? I have a comb. - What is that? - A mustache comb. Thank you. Okay, I will do your laundry for one month. I will, I will, I will... I will clean the apartment for two months. I'll give this to you now, if you (..)1996 TvShow: Friends Title: The One Where Dr. Ramoray Dies Season: 2 Episode 18