Ualaa already answered your question: the search is strictly a text search. Whatever you type into the search field is compared (literally) against the content of the data. The reason why "CL: 5" works is because that string appears in the data. You can search for "STR" to find anything containing those characters, but that means "strength" and "castrate" would both be found (and those are not related at all, lol!).
So no, there's no less-than or greater-than operators, there's no pattern matching characters, there's no way to sort by price/CL/anything else. It's the absolute minimum search functionality that could be imagined. (Although others have requested some of those features, like sorting by gp, but as HLC is pretty much dead now, I don't expect any of that will be implemented. There hasn't even been a data set bug fix release in... 17 months?)
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