Why does a pendulum lose time in summer and gain time in winter?

Why does a pendulum lose time in summer and gain time in winter?
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As the arm supporting the pendulum expands in the warmer temperatures of summer, so the swing distance slightly increases, so taking longer to swing and slowing down the clock. Back in the colder winter weather, the pendulum support contracts, getting slightly shorter. This increases the speed of the swing and the timing is increased. So in summer time slows down, and in winter time speed up. This is when adjustment is usually made to regain the correct time.
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