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The field lines have no start or stop. They form closed loops and can never cross. The field lines are found inside and outside the magnet. From the point of view looking from inside the magnet the field lines appear to be (say) S to N, while outside the lines appear to be N to S. ( you could choose the opposite convention)

+-->---| S inside -->--------- N | --- outside-->-+

+-----------<-----------<-----------<---------------<-+

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