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To find the code for '2' in the given code language, we can observe the pattern between the given numbers and their corresponding codes: From '4378' coded as 'IDOL' and '7832' coded as 'IDLE', we can deduce that the code for '4' is 'I', the code for '3' is 'D', the code for '7' is 'O', and the code for '8' is 'L'. Therefore, the code for '2' would be the remaining letter from 'IDLE', which is 'E'. So, the correct answer is: 3.
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