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For example, if you were drawing the Lewis structure of NH3, there would be a lone pair on the N. This would then be sp3 and shown with 4 _ _ _ _. The first space would have an arrow going up and down representing the lone pair and the last 3 would only have an upwards arrow showing binding sites.
a lone pair acts as other section of electron density in hybridization, so yes they matter. A molecule with 3 bonds and 1 lone pair has 4 regions of electron density and therefore has sp3 hybridization.
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