harry potter - Can house-elves do laundry without being freed?

Can house-elves do laundry without being freed?

‘Why d’you wear that thing, Dobby?’ [Harry] asked curiously.

‘This, sir?’ said Dobby, plucking at the pillowcase. ‘’Tis a mark of the house-elf’s enslavement, sir. Dobby can only be freed if his masters present him with clothes, sir. The family is careful not to pass Dobby even a sock, sir, for then he would be free to leave
their house for ever.’

_{Chamber of Secrets - page 133 - Bloomsbury - chapter 10, The Rogue Bludger}

AND:

‘Winky is still drinking lots, sir,’ [Dobby] said sadly, his enormous round green eyes, large as tennis balls, downcast. ‘She still does not care for clothes, Harry Potter. Nor do the other house-elves. None of them will clean Gryffindor Tower any more, not with the hats and socks hidden everywhere, they finds them insulting, sir. Dobby does it all himself, sir, but Dobby does not mind, sir, for he always hopes to meet Harry Potter and tonight, sir, he has got
his wish!’

_{Order of the Phoenix - page 342 - Bloomsbury - chapter 18, Dumbledore's Army}

Can house-elves do laundry, or would that constitute being allowed access to, thereby given by proxy, clothes? If a House-elf does laundry, will he or she be freed?

★ I'm looking for an answer based in canon (the Harry Potter novels, the three supplemental books, interviews with J.K. Rowling or Pottermore) and do not prefer an answer from the HP Wikia or the Wikipedia.