Koen Verbeeck has a two-parter. First up is storing Logic App code in source control:
At a data warehouse project I’m using a couple of Logic Apps to do some lightweight data movements. For example: reading a SharePoint list and dumping the contents into a SQL Server table. Or reading CSV files from a OneDrive directory and putting them in Blob storage. Some of those things can be done in Azure Data Factory as well, but it’s easier and cheaper to do them with Logic apps.
Logic Apps are essentially JSON code behind the scenes, so they should be included into the source control system of your choice (for the remainder of the blog post we’re going to assume this is git).
The second post covers deployment:
It’s easy to duplicate an Azure Logic App in a resource group, but unfortunately you cannot duplicate a Logic App between environments (you might try to copy paste the JSON though). So unless you want to hand craft every Logic App yourself on each of your environments, you need a way to automatically deploy your Logic Apps. It’s easier, faster and less error-prone than any manual method.
Check out both posts.