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Python data filtering to remove outliers around a density plot

Referring to the below plot, I would like to remove all the outliers outside the density region marked in black color oval shape. I can use simple horizontal filters, like, -4 < data < 4. But outliers still remain. I am looking for any technique that precisely captures the density samples but drops the outliers.

Python data filtering to remove outliers around a bensity plot

Referring to the below plot, I would like to remove all the outliers outside the density region marked in black color oval shape. I can use simple horizontal filters, like, -4 < data < 4. But outliers still remain. I am looking for any technique that precisely captures the density samples but drops the outliers.