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.]
(..) Oh. Put it away. I'm enjoyin' menopause very much. Thank you. Whoo! You gotta think of how to make things right with Red. Oh, and yeah. You gotta go down to laundry. Don't forget that. And check the elastic on all the pants. Mm. Don't let the give you stretched out garbage. (..)2013 TvShow: Orange Is the New Black Title: I Wasn't Ready Season: 1 Episode 1