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You may have 2 options:
1. Install the trial license of QBD 2011 and 2015 to convert your company file prior to opening it on the trial license of QBD 2021. Then you will be able migrating to QBO.
2. Purchase a 3rd party conversion service.
Thank you for reaching out to us here on the Community page, @silverbayautoval.
Yes, you can import your QuickBooks Desktop (QBDT) 2009 backup file to QuickBooks Online (QBO) through an updated QBDT trial account. I'm here to guide you on how.
First, download a free trial account of the updated version of QBDT. Then, restore the backup file from there. If your backup company file is on an external device like a USB or a hosting service like Box, you'll need to move it to your local hard drive first. Then follow the steps.
Once completed, you're now ready to migrate your data to QBO. You can use this article as your guide: Move your QuickBooks Desktop file to QuickBooks Online.
As you start working with QBO, you can as well open the topics from our help articles in case you need related resources in the future.
Please let me know if you have any other questions. I'm always here to help. Have a good day!