Hey carter0718,
Thanks for the question. You can configure where discarded messages are moved to in the advanced settings of your mail account. The following resource provides an example similar to the one you have described. While the article is titled for Gmail accounts, the same resolution should apply to your account:
iOS: Understanding Gmail Archive
http://support.apple.com/kb/HT4207
Mail archives Gmail messages rather than deleting them:
When you archive a message, it moves to the All Mail folder. It does not delete the message from the Gmail account. You can learn more about the Gmail archive feature in Gmail Help. Archive replaces all delete options when you use a Gmail account, including tapping the Trash icon while you view a message and selecting Edit to manage multiple messages.
You can disable this feature in Settings > Mail, Contacts, Calendars > Gmail Account > Account > Advanced > Move Discarded Messages Into:
Thanks,
Matt M.