The migration scenario to the SharePoint Server 2019 has not changed. By far, there is not method available for direct migration from SharePoint 2013 to 2019. Hence, in order to migrate to SharePoint 2019 from SharePoint 2013, you need to upgrade your server the next latest version available i.e. SharePoint 2016, and then you can further upgrade to SharePoint 2019. Technically, your databases must be available in SharePoint Server 2016 RTM version or higher, when you are migrating to SharePoint Server 2019. Databases with any lower version will be locked and will not be able to upgrade.
Please reference:
Step by Step Guide to SharePoint Migration from 2013 to 2019
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