For anyone else that was looking for this information, I got the following response from Five Star. He mentions Star San because I was asked if it could be stored in the same manner (closed container).
LLC will last for a long time if stored in a closed container and out of sun light. The solution will only go bad as it comes in contact with dirt or organic material.
The Star San is a little bit different. Yes, you can keep a solution for a long time, however, the quality of the water will effect the solution. If you used DI water, than it will stay good for a very long time. Tap water can cause the star san to go bad after a day. The way to tell is if the pH is below 3.5 and the solution is still clear. When it goes cloudy it is turning bad.