Helen runs a small business selling handmade candles. She buys the materials for each candle at $5 and sells each candle for $12. Last month, she made and sold 45 candles. However, 7 of these candles were damaged during delivery and had to be replaced at no cost to the customer. How much profit did Helen make last month? Let's think step by step and output the final answer within \boxed{}.
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