Draw out is a phrasal verb that means to make something last longer or to elicit information or emotions from someone. There are several synonyms that can be used in place of draw out, including extend, lengthen, prolong, extract, evoke, solicit, and elicit. For example, instead of saying "draw out the meeting," you could say "extend the meeting." Instead of saying "draw out his emotions," you could say "elicit his emotions." Using synonyms can help to add variety to your writing and make it more interesting to read.