What is the difference between NLP and machine learning?

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Let’s say, we sell shoes online and we have the history of every order our customers have ever placed stored in our database. We want to use that data so we know what shoes we should recommend to each customer, based on their previous purchases, so they buy more shoes from us. Could you please explain how NLP or machine learning would apply in this context and what the difference between the two is?

A colleague is using these terms interchangeably and I don’t think they are the same thing.

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