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Default for Solubility gain per charge in the Compound block #38
Aqueous solubility is not reciprocal to LogP.
The first terms in the eqs. above (Gvaporization and Gsolvation_oct) are not negligible, therefore LogS and LogP are not reciprocal.
I guess you mean here that LogP for the ionized species is typically 3-4 units lower than that one for the neutral one, correct? Therefore LogD never goes 3-4 units below logP at any pH.