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For aircraft with more than two engines under part 121, the required visibility for takeoff is established at 2 miles. This visibility requirement is rooted in safety regulations, which aim to ensure that pilots have sufficient visual reference to navigate during critical phases of flight, such as takeoff. The rationale behind this specific visibility threshold is that multi-engine aircraft, due to their larger size and operation in more complex environments, need enhanced visibility to avoid obstacles and ensure a safe climb out following departure.

This visibility requirement also takes into consideration the operational factors involved in flying larger, more complex aircraft. In many cases, having a wider field of vision reduces the likelihood of incidents related to poor visibility conditions, which is particularly important during the initial stages of flight when pilots are most vulnerable.

This is why the option specifying 2 miles visibility stands as the correct answer; it aligns with federal aviation regulations designed to promote flight safety and operational integrity under various environmental conditions.