There are a number of things that could be done to improve the clearance rates for burglary cases, but they are not easy or cheap. The simplest way is to hire more police and detectives, so the manhours are available to investigate cases, especially the more minor burglaries (low dollar value taken) that are much more common.
Another way would be to give police more search and seizure powers. If police were able to search any non-residential property--such as a business or a storage unit--they may be able to discover stolen property and those who took it more quickly. This would be constitutionally tricky, of course.
A final way would be to strengthen the laws and requirements for pawn shops in the amount of documentation and verification they go through when buying goods from private citizens.