A special type of plant grows according to the Fibonacci sequence, where each number is the sum of the two preceding ones. Suppose a plant produces 2 flowers in the first month and follows the Fibonacci sequence for flower production in the subsequent months. If each flower takes 3 hours to bloom fully, how many total hours does it take for all the flowers produced by the plant in the first 5 months to bloom fully? Let's think step by step and output the final answer within \boxed{}.
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