If you want to clean up your inbox without deleting your emails, you can archive or mute them. Your emails are moved to a label called "All Mail." When you archive a message: The message will come back to your inbox when someone replies to it. When you mute a message: Any replies stay out of your inbox.
Do archived emails get deleted Gmail?
Messages you archived aren't deleted, and you can access them at any time. Gmail keeps your archived emails indefinitely or until you delete them.
Where do archived emails go with Gmail?
Any message you've archived can be found by clicking the "All Mail" label on the left side of your Gmail page. You can also find a message you've archived by clicking on any other labels you've applied to it, or by searching for it.