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, come on Pascal, it's not so bad in there. *Sings "When will my life begin"* *Start on the chores I sweep 'til the floors all clean.* *Polish and wax, do laundry and mop and shine up.* *Sweep again, and by then it's like .* *So I'll read a book, or maybe two or three.* (..)2010 Tangled