I would like to know if duty implies value. If I have the duty to take care of

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I would like to know if duty implies value. If I have the duty to take care of my daughter, does that imply that it is better that I take care of her than that I don't? If two people promise each other to meet that evening, is it then better (at least, according to their promises) that they meet? If I have the duty to join my country's army, is it better that I do than that I don't? Thank you.