What does a complex search mean?

ComplexSearch can mean many things. I think the common thing, is a search that is complex in nature. That you are using multiply search settings to query a database of such. Of course, it can also mean <a class="url" target="_blank" rel="nofollow noreferrer" href="/to/?target=http://www.complexsearch.com">ComplexSearch.com</a> a deal blog.