Hello castelnaud,
From what I understand, you have subscribed to iTunes Match but you are hearing ads on iTunes Radio. You've also mentioned being charged twice for iTunes Match access. After reviewing your post, I have located some articles that can help in this situation. They contain troubleshooting steps and helpful advice:
FAQs about iTunes Radio
Yes, if you're in the United States or Australia, you can listen to iTunes Radio without ads when you subscribe to iTunes Match. If you're using iOS 7.1 or later and iTunes 11.2 or later, you don't need to turn on iTunes Match on your device. As long as you have an active subscription to iTunes Match, you can listen to ad-free radio. If you're using an earlier version of iOS, you'll need toturn on iTunes Matchon your device to listen to ad-free radio.
This article will help you resolved the double payment issue:
Report an problem with an item you bought from the iTunes Store, App Store, Mac App Store, or iBooks Store
Thank you for contributing to Apple Support Communities.
Cheers,
BobbyD