The pressure will keep it from boiling. By keeping butane pressurized in a container, it remains liquid at room temperature. The boiling point of butane, by the way, also explains why butane lighters don't work very well on cold winter days. If it is 10 degrees Fahrenheit outside, the butane is well below its boiling point, so it cannot vaporize. Keeping the lighter warm in your pocket is what allows it to work in the winter.
Modern refrigerators use a regenerating cycle to reuse the same refrigerant over and over again.
You can get an idea of how this works by again imagining our oven creature and his cup of water. The water in the cup boils away, remaining at 212 degree F but producing a lot of 400 degree F steam. Let's say the creature collects this steam in a big bag. Once all the water boils away, he pressurizes the steam into a steel container. In the process of pressurizing it, its temperature rises to 800 degree F and it remains steam.