The phrase "put bluff" can mean "to deceive through false statements or actions." If you're looking for synonyms for this phrase, you could consider using words like "bluff," "deceive," "mislead," "trick," "dupe," "hoodwink," "beguile," "bamboozle," or "delude." These words all involve the act of intentionally misleading someone, often to gain an advantage or achieve a particular outcome. Remember, using synonyms can help you diversify your language and make your writing or speaking more engaging and dynamic. So, whether you're writing an essay or having a conversation, it's always beneficial to add new words to your vocabulary!