There's a big difference. When people kill chickens it is done by people who are getting paid to do it and it is also for food and survival. We eat chickens, it is a common food for us. When people kill foxes they do it for fun. They have no reason but "haha funny". They are mentally unstable.
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It is still a very different story. Again we need those chickens for food. The fox might as well but the fox also has other options, and farmers should have a dog to chase off the fox. So that is the farmers fault.