Why so many logical reads?
Those are page reads, mind you.  That is relevant.

Possibilities:


Improper or insufficient indexing.  Are any of the filtered fields indexed?  How wide are the indexes (see below)?
Poor page density.  What's your fill factor on any indexes you may have?  If it's too low, you are pulling a lot of pages for this.
Very wide indexes.  If you have indexes but they have a lot of fields, or very wide fields, then you get less rows per page.


I'm guessing you have a table or clustered index scan happening for at least one of these criteria, and the table is wide-ish which causes a lot of data to be read, regardless of how much data you actually need.