Publicise, promote (9)
I believe the answer is:
advertise
I believe this clue is a double definition.
'publicise' is the first definition.
(synonyms)
'promote' is the second definition.
(I know that promote can be written as advertise)
(Other definitions for advertise that I've seen before include "Make public what is for sale" , "Publicise, promote" , "Market" , "Publicise, make known" , "Call public attention to" .)