If even with a new battery the starter doesn't turn the engine then it's the starter the one that has died, taking the battery with it. You will gonna have to remove it from the car and test it - if it fails don't try to fix it (the parts themselves will cost you more than a refurbished one), just replace it.
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If even with a new battery the starter doesn't turn the engine then it's the starter the one that has died, taking the battery with it. You will gonna have to remove it from the car and test it - if it fails don't try to fix it (the parts themselves will cost you more than a refurbished one), just replace it.