While both "valid" and "legitimate" suggest something is acceptable or genuine, there's a subtle difference. "Valid" typically refers to something that is officially acceptable or correct according to the rules or standards. "Legitimate" implies that something is lawful, proper, or genuine, often suggesting a moral or ethical aspect. Think of "valid" as concerning form, and "legitimate" as concerning substance.
Here are some example sentences to illustrate the difference:
Sometimes the words can be interchangeable, but often choosing one over the other can change the nuance of a sentence. For example, you might say "a valid argument" or "a legitimate argument." However, you're more likely to say "a valid driver's license" (referring to its official acceptance) than "a legitimate driver's license." Conversely, you might say "a legitimate concern" (referring to its genuine nature) rather than "a valid concern."
Let's look at some more examples to solidify your understanding: