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Answer:
The proverb "Safety doesn't happen by accident" is connected to the topic of health and safety at work because it refers to how much effort it takes to provide a safe environment, which applies to the work environment.
Explanation:
The proverb is a play on the words "safety" and "accident" by noting the irony of how avoiding accidents, which is the same as providing safety, requires effort. A healthy and safe environment at work, without accidents, requires a strong protocol that must be followed by everyone involved.