Trademark renewal is the benefit given to the registered trademark. A registered trademark is valid for 10 years and after that, it is important to renew it if you want to continue enjoying benefits of a registered trademark.
Registrar sends a notice before 6 months of the expiration of registered trademark, and if you do not respond to the notice then your registered trademark will be removed from Journal and stands expired.
If you want rights to an abandoned trademark, the best action is to obtain a federal registration with the USPTO (United State Patent and Trademark Office). You can do this by filing an online application on the USPTO's website, which includes your contact information, a drawing of your mark, a description of the associated goods or services and a filing fee.