The most common and most likely answer to this crossword clue is the 6 letter word COAXES
C
O
A
X
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More clues leading to the result COAXES
Buddy explains!

The straight part
We know that "Persuades" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case persuades = coaxes.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does COAXES mean?
COAXES verb- To fondle, kid, pet, tease.
- To wheedle, persuade (a person, organisation, animal etc.) gradually or by use of flattery to do something.
- To carefully manipulate into a particular desired state, situation or position.
- One of the directional motion vectors perpendicular to a cocone.