In that process they have hosed their canonical URL references, and probably introduced some malformed product page URLs.

In reviewing your links, it appears that your store code is altered.  I state this because the URLs to products and categories are formatted differently than stock functionality would produce.

For example, this category page http://www.rothemcollection.com/productcart/pc/c415.htm would normally contain a reference to "Anniversary Bands".  In the process of your mods, you may have introduced code that is causing this problem.

If you have a page that is located in the productcart folder, and contains a relative URL reference to that folder that is not preceded by a "/", then you would end up with a double reference to productcart, and thus your problem. 

 

You have other issues.  Again, I recommend you download and run the FREE XENU link sleuth program.  By running it against your store, I found links such as this:

 

In the rendered source of that page is this:

<link rel="canonical" href="http://www.rothemcollection.com/pc/p1929.htm" />
<link rel="image_src" href="http://www.rothemcollection.com/pc/catalog/" />

 

Note that the productcart folder reference is missing from those links.  I don't believe stock code will behave this way, at least not the more recent versions.

 

I hope this will provide to you somewhere to start looking for issues within your site.  What version store code is this running?