Like so many others, I have used Break Free for years.
CLP is a general purpose lubricant that can also be used as a carbon cleaning agent.
It is still issued to anybody who wants it in all branches of the armed forces.
LP is a lubricant and protective agent.
It too is used by all branches of the armed forces and available.
LP is primarily a lubricant and it is used on all type of things that need lubrication and protection against corrosion but that do not tend to build up large volumes of carbon deposits that need to be made easy to clean away.
Items such as chairs, drawer channels, door hinges, etc.
Do you understand the difference between the two products now?
By the way, after many years of Break Free, I now use a product called M-Pro7 CLP.
Technology rears it's ugly head and time marches on and this stuff is even better than Break Free.