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I don't know of any way of finding out how long you have been playing to be honest @buttparsa
King do send you an email on the anniversary of your joining though, so that would be a rough guide.
Also if you play on android find the app in your settings/apps & notifications/app info, click on it and it will display how much Mobile Data and Wi-Fi the app has used since you installed it. This can be used as a rough guide as long as you haven't reinstalled your app at anytime