Will plants continue to produce crops in their second season if not removed?

Winter will remove crops, so they won't survive to a second season.

I can see that people say that ALL crops will wither (and all other 'new' seasons) and die at winter. This is not the case at me. 5 of my cranberries managed to survive (Don't ask me how) and they are still producing. All other crops, including other cranberries died though.