promote

(v) contribute to the progress or growth of
- I am promoting the use of computers in the classroom
encourage, further, boost, advance,
(v) give a promotion to or assign to a higher position
- John was kicked upstairs when a replacement was hired
- Women tend not to advance in the major law firms
- I got promoted after many years of hard work
elevate, kick upstairs, upgrade, advance, raise,
(v) make publicity for; try to sell (a product)
- The salesman is aggressively pushing the new computer model
- The company is heavily advertizing their new laptops
advertize, advertise, push,
(v) be changed for a superior chess or checker piece
(v) change a pawn for a better piece by advancing it to the eighth row, or change a checker piece for a more valuable piece by moving it to the row closest to your opponent

encourage further boost advance elevate kick upstairs upgrade raise advertize advertise push

demote kick downstairs relegate bump break

promoter