Based on the information provided about the life trajectory of stellar nebulae and the evolution of average stars and massive stars, the two correct statements are:
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Average stars evolve more slowly than massive stars. - This is true as the average star takes much longer to evolve through its stages compared to the massive star, which evolves rapidly.
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Massive stars evolve more quickly than average stars. - This is also true as the diagram indicates that massive stars undergo their evolution stages in significantly shorter timeframes than average stars.
The other statements regarding average stars evolving more quickly, and massive stars evolving more slowly than average stars, are incorrect based on the provided information.