There are various synonyms for the phrase "puts the shelf", including "mounts the shelf", "installs the shelf", "places the shelf", "fixes the shelf", and "attaches the shelf". These synonyms convey the same meaning as the original phrase, indicating the act of placing a shelf onto a wall or other surface. While each synonym has its unique connotations and nuances, they can all be used interchangeably in most situations. Depending on the specific context and tone of the sentence, one synonym may be preferable or fit better than the others. Nonetheless, they all ultimately refer to the same action of fixing a shelf onto a surface.