Peroxide paste Is horrible It works okay on roe deer since the surface area Is small but on a red deer bone is incredibly porous and will wick away all the peroxide's water within an hour and render it useless and the reaction stops.
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You need liquid peroxide ideally I can see on eBay you can buy 20 Litres for £40 assuming you keep your skulls incredibly clean, do all your prep in a dark room, and put a pin prick in the peroxide container (It breaks down into a gas) it can be used for well over a year and do hundreds of skulls.