Sears Carpet cleaning is a leased department and is operated by an independent company. There was a time when a lot of the big department stores had carpet cleaning departments. As far as I know, they were all leased departments. Sears in the Detroit area was leased by 4 different companies in a 10 year period back in the 1980's.
I actually got my start with a company, Adler and Son, that ran leased in home cleaning departments for MANY different stores through the United States and Canada. I think at their peak they were in 35 different cities and represented Macy, Boston Store, JC Penney, Federated Stores, Carson Pirie Scott, G Fox, The Bay, Eatons, etc. There were some cities where they were representing 2 and 3 different stores at the same time. You just had to be careful what you said when you answered the phone.