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Envato has done quite a bit in taking down large networks / hosting providers. I’ve seen this happen as I’ve helped by providing them some details on hosting accounts.
However when it comes to individual items on these networks, no there isn’t much that they can do (author can only send DMCA).
If you can track down information about a particular network ( hosting provider, server location, owner, analytics, adwords account, paypal account, etc.. ) and send it through to Envato that is when they can step in and start to put pressure on the source of the issue.