I don't see the chapters that I purchased listed there at all.
Here is the problem as I see it. I paid for or 'earned' spirit stones. When I purchased a chapter on my phone the spirit stones decreased. When I was on my tablet the spirit stones showed the same on my phone after purchasing, ergo, the decrease of spirit stones was across all devices.
We know there is a problem sync'ing chapters across devices, so it would not surprise me if the sync'ing of the log from purchasing the chapter didn't work either. Which means the log won't show the purchased chapter.
I would think that the spirit stones would not sync either. However, the spirit stones did show a decrease on both of my devices. Therefore, if I earn or purchase stones it shows on all devices.
This is why I'm saying there is a problem with purchasing chapters, and why I got mad about it.