Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(-1sin(1π((3(3x + 5) + 1)/(-1(3x + 5) + 2)) + 2) + 2)^2 - 3(-1sin(1π((3(3x + 5) + 1)/(-1(3x + 5) + 2)) + 2) + 2) + 5 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}
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