I'm creating a level editor for my game and I'm wondering if it's possible to export array JSON file to specific location as well as importing them into the game?
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You can use the 'Array: Download' action. That will give you a link to the JSON which you can then save as a text file or whatever.
How would I go about importing back into the game after that though?
You could use project files and AJAX. This tutorial has a bit about making a level editor:
http://www.scirra.com/tutorials/328/using-project-files-in-construct-2/page-1