Step 1: Nature of legal positivism.
Legal positivism, particularly analytical jurisprudence, focuses on the clarification and analysis of fundamental legal concepts such as law, rights, duties, and sovereignty.
Step 2: Role in interpretation and theory.
This conceptual analysis aids both the process of legal interpretation and the development of a coherent conceptual framework for legal dogmatics and philosophy of law.
Step 3: Conclusion.
Therefore, both statements are correct. Hence, option (C) is the correct answer.