Rule not moving sent emails

Scenario A:
incoming folder, already read email from xxx, right click on xxx address, create rules, “email recevied from xxx move to folder xxx”. Apply this rule to incoming folder; the email from xxx is moved from incoming folder to xxx folder. Perfect!

Scenario B:
sent folder, email sent to xxx, right click on xxx address, create rules, “email sent to xxx move to folder xxx”. Apply this rule to sent folder; the email sent to xxx it remain in the sent folder with a lable “xxx folder” and and a copy (?) appear on the xxx folder. Is it possible to have the same behavior (to move the email) for the sent rule as it is for the incoming rule?

Thank you in advance for your answer.
Diego