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Hi there. The older version of the app had an experimental and pretty unpolished export function, but it should work after a fashion. This is what the readme says:

1. Press the "Save to disk" option (no message will popup fyi)

2. To find the .save, you need to go access the folder /Android/data/app.courseoftemptation.lewd

3. You need a special file manager, x-plore from Play Store does the job well. As long as your file manager can request for SPECIAL PERMISSION access, you can use any type.

Almost made it, but then another problem occurred: 

Failed to load save file from disk (NotReadableError: The requested file could not be read, typically due to permission problems that have occurred after a reference to a file was acquired.).

I used x-plore, then tried es file manager, same result. I gave permission access, can see all the save files, they just won't load

This is beyond my personal expertise but I asked one of the contributors... they suggest using x-plore to move the file to a folder that definitely isn't protected, like your downloads folder, then try having the CoT app open it from there.

(+1)

It worked, thank you so much!