From the NC gov page: Generally services are exempt from sales or use tax, but laundry and dry cleaning services are taxable at the combined 6.75% (7% in Alexander, Cabarrus, Catawba, Cumberland,...
To the degree it si a component of a product, they all do in some way...even if you try charging it seperatley. (So selling most taxable items and charging X for it and Y for labor on it does not...