Hi @FIX MY LIVE ACCOUNT FINALLY AFTER 5 MONTHS ,
Yes, you are right. Just as you said, it is a default behaviour that you could not see the sent message in Conversions view after moving the received messages to Public folder.
The Public folder is a shared path of the Public folder mailbox. When moving the received email messages to the Public folder, the sent emails and the moved emails are not in the same mailbox, so the conversation view could not show all the emails. As I know, Outlook has not supported the feature of automatically moving emails in the same conversation in different folders together to Public folders. Therefore, you need to manually move the messages of the same conversation in your Sent Items folder to the Public folder to display the complete conversation.
If you still have a demand to add this function to Outlook for Windows, you could create a thread in User voice, then other users will could vote on it for you, Microsoft may notice it and add it in the later version.
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