If you need language that people can't understand to write a law, then that is a bad law. The whole point of laws is that they are something that everyone has to obey. If they can't be understood, they can't be obeyed, so why have them?
A good first step would be to check if the legislators understand what they are voting on. Lets say that after a law is voted on, a random sample of those that voted for it is chosen, and they are given a quiz about what the law would mean in various situations (these questions could be sent in by the voters as well as whoever opposed the law). If all the answers agree, these answers can serve as the 'explanation' of the law. If they don't the law does not take effect, since it is too unclear.