POP3 Capture Sent Messages, Place in IMAP Account

There should be the option for IMAP/POP3 accounts to capture POP3 sent e-mails, such as those sent by an e-mail program on a desktop computer to the SMTP servers of the same servers as the POP3 account, and then deliver the sent messages to the Sent Items folder on the IMAP account. Perhaps it would be important to only place the sent messages in the IMAP account, rather than the POP3 account, because if they were placed in the POP3 account, the desktop’s e-mail program would download the sent messages into the “Sent Items” or “Sent” or similar folder.