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Machine A and Machine B can complete a job in 2 hours. Machine A and Machine C can complete the same job in 3

Machine A and Machine B can complete a job in 2 hours. Machine A and Machine C can complete the same job in 3 hours. Machine B and Machine C can complete the same job in 4 hours. How long will the job take if Machine A, Machine B, and Machine C all work at the same time. Assume each machine works at a constant rate whether working alone or with other machines.

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