If I'm reading your post correctly, I think what you are looking for is a thread of messages during a conversation showing both incoming and sent messages to the same people? If so, on the Inbox page, at the top of the message list, click on "Sort by". In the menu that opens you will see "Conversations" at the bottom. Click on that.
Thank you for your reply. This still does not allow me to see in the folder view, both that I sent the email and who it was to. In outlook for example, you can format your views so you see both. I do not see that option in my Xfinity folders.