The correct answer is option 2: "1 and 2 are correct".

Let`s dissect each statement to understand why this option is correct:

Statement 1: The Indian Parliament can invade the State List if a subject in the State List assumes national importance.

This statement is correct. The Indian Parliament can legislate on subjects that are under the State List if they assume national importance. This is allowed under certain circumstances, such as when there is a need for uniformity throughout the country or during a national crisis.

Statement 2: The Indian Parliament can invade the State List if a proclamation of emergency has been issued by the President of India.

This statement is correct. During a proclamation of emergency, the Indian Parliament can legislate on subjects that fall under the State List. This is done to effectively manage the emergency situation and ensure the smooth running of the country.

Statement 3: The Supreme Court of India authorizes the Parliament to do so.

This statement is not correct. The Supreme Court of India does not have the power to authorize the Parliament to invade the State List. The power to invade the State List lies with the Parliament itself, as mentioned in statements 1 and 2.

Therefore, option 2 is the correct answer as it identifies the correct statements in the