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Hello Gail, welcome.You need to see if your emails are in the web version of Gmail here:http://www.gmail.com(using your browser)If they're not, make sure to check "All mail" as they may be hidden.Does that make sense?
Welcome back.Would you like me to connect with you directly so I can see if the emails are recoverable?
If it's not in all mail then they won't be recoverable - your only option would be to contact Google but I don't think they would do anything.The alternate option is if you used an email client like Thunderbird or Outlook they could be retrievable from a backup.