Statement 1 is incorrect: Nanoparticles can exist in nature (natural nanoparticles). Volcanic eruptions, forest fires, and natural weathering processes can all create nanoparticles.

Statement 2 is correct: Some cosmetics incorporate nanoparticles of ingredients like zinc oxide or titanium dioxide for sun protection or other purposes.

Statement 3 is also correct: The safety of nanoparticles in consumer products is a complex issue and a growing area of research. Some nanoparticles might pose potential health or environmental risks depending on their specific properties and how they interact with the body or the environment.