how does the frequency change when you take the details coefficients of the wavelet transform?

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I am using the wavelet decomposition to get the details coefficients of my signal.
From my understanding, if I had a signal of 100Hz, cd1 would give the frequencies between 50-100Hz and throw away all the other frequencies.
Yet, when I plot a scalogram of cd1, the low frequencies from 0-50 Hz are still there.
What am I missing here?

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