Statement 1 is incorrect: The term "basic structure" is not explicitly mentioned in the Indian Constitution. It was first propounded by the Supreme Court in the landmark case of Kesavananda Bharati v. State of Kerala (1973).

The Court ruled that while Parliament has the power to amend the Constitution under Article 368, there are certain features of the Constitution that form its basic structure and cannot be altered or destroyed through amendments by Parliament.

Although the basic structure doctrine includes elements such as federalism, secularism, democracy, and fundamental rights, these features are not explicitly listed as the 'basic structure' in the Constitution itself.

Statement 2 is incorrect: The Constitution of India does not explicitly mention the power of judicial review. Instead, this power is derived from various provisions, particularly Articles 13, 32, 131-136, 143, 226, and 246. Judicial review allows the Supreme Court and High Courts to examine the constitutionality of legislative and executive actions, ensuring they do not violate fundamental rights or other constitutional provisions. This power is essential in maintaining the supremacy of the Constitution and protecting citizens' rights.

Hence, neither of the statements is correct.