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The correct answer is option 3: both statements 1 and 2 are correct.
Statement 1 states that employment growth in India during the second half of the first decade of the 21st century was relatively modest. This means that the rate at which new jobs were being created was not very high.
Statement 2 states that there was a lower labor force participation rate across all ages during the same period. This means that fewer people were actively participating in the workforce in terms of seeking and obtaining employment.
Both of these statements are true and reflect the employment situation in India during that specific time period. It indicates that there was not significant employment growth and a lower labor force participation rate.
Therefore, option 3 is the correct answer as it correctly identifies that both statements 1 and 2 are correct.