
If you deleted an email from one place, like under another Gmail label or from another device, it is deleted from Gmail entirely.
There’s only one copy of every Gmail email. If you’re a Google Apps user, more extensive options are offered. After 30 days, emails are permanently deleted from the Trash. Official Google policy with free Gmail accounts, If you delete an email it stays in your Trash for 30 days. If your emails are deleted from the Trash folder, Gmail (free version) is mostly unable to show and offer to restore them for you. Sort the results list backwards, for oldest 1st if needed.
Try leaving all search box variables blank, and just set for the farthest time-span going back possible, with Trash as the selected place to search. Click on the blue search button on the bottom left of the search box and all of any available or recoverable deleted emails will be shown. Use query fields like To: & From:, subject, key words, date range. Use the drop down arrow, end of your search box atop the screen. If Gmail has not deleted the messages from the server, you can recover deleted emails after deleting them from your trash folder. We have found this type of information can be tricky to get back, but there are ways. If you accidentally deleted a folder or email and it is not located in your Trash folder, your email host might have a copy of your emails.