Hi,
Many of the virtuemart users facing the following problem. I am showing a solution which may work for you. Its worked fine for me. This solution for the people who is using VM version 1.1.2.
Your Question:
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When I place an order on my Virtuemart shopping cart, the order confirmation email comes through fine, BUT the URL [...]

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Finding the solution is so simple for this question. just google it, you can find plenty of online tutorials and help sites.
But many of them give you lot of technical stuff. Some tips may not be understand properly. So people just postpone their things to do for their joomla website.
Many guides and joomla videos available [...]