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There is a Layton game for Android
I found this too: "another case solved". Looks like Layton. Not familiar with it tho
Can you suggest a game similar to Layton Brothers Mystery Room? Something in that sort of detective genre, without turning into too much of a "hidden object" game.
These probably aren't it, but since you mentioned Professor Layton I'll link to them anyway:
Both of those are official Layton titles on Android and iOS.