I just sold my 2003 CR-V, and started checking out ebay to sell my old remotes, which were never used, because I had immediately installed an alarm system which used its own remotes. In searching for programming instructions (which I could include with the never-used remotes that I plan on selling), I found a file which I will try to attach here. It is a pdf of a Honda booklet from 2001 that explains how to program the remote. The picture of the remote in the booklet is the same one that came with the 2003 CR-V, so I suspect that the programming instructions are the same. Now, mine was an EX model; however, the LX models did offer keyless entry as an extra-cost accessory. What is not clear to me is whether the capability is built in to all of the LX's anyway, and the extra cost just gets you the two remotes when you bought it new, or whether the remote capability had to be added to the vehicle at the time of manufacture or at the time of purchase. Anyway, download this file, and see if the procedure works. Please let me know if it does.