White pines and my new driveway

I just had the old driveway removed and the roots ripped up. They put down a bit of gravel (far less than the 6" promised!), 1.5" of a binder and finally, the finish layer of asphault. How do I keep the roots from invading the driveway and ruining it again?
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Short of removing the trees, or placing some type of deep concrete or steel barrier along the edges, you can't.
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