Question: What are the differences between correlation and causation? What are the examples that X does not cause Y, but X and Y are still correlated?

What are the differences between correlation and causation? What are the examples that X does not cause Y, but X and Y are still correlated? Are there any possible methods or cases to distinguish between correlation and causality?

**********Be as specific as possible, giving as many examples and interpretations as possible.

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