Search indexes are located in the app_data/sitefinity/search folder. Here is the path located on my machine. "C:\Program Files (x86)\Sitefinity_4.4\Projects\ProductList\App_Data\Sitefinity\Search"
Also, when you do a reindex, the results get deleted and created again. I have included some documentation
to the search widget.
Please let us know if you have any other questions.
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