difference between convolution and multiplication?(both in continuous and discrete domain)

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I have tried reading certain google results to my question but I am still not clear

please kindly explain in simple words with examples, what is the difference between convolution and multiplication? And if they both are the same, under what condition?

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The ordinary multiplication looks at the current time only: $$(f \cdot g)(x) = f(x) \, g(x)$$

The convolution looks at different times: $$(f * g)(x) = \int_{-\infty}^{\infty} f(y) \, g(x-y) \, dy$$