Well I don't know how possible this is but through a few different experiments using sodium hydroxide mixed with HCL, it seems to change the molecular structure of the HCL. So possibly mixing sodium hydroxide with hydriotic acid, a similar reaction will take place. And this reaction is needed in order to extract a liquid and a base compound from the hydriotic solution.
So basically the acid is needed to reduce but the reduced compound won't separate from the acid. So the the sodium hydroxide is added to react with the acid but not the compound. With the acid changed by the sodium, the reduced compound is able to now be extracted using a solvent. If this is wrong please don't hesitate to correct this theory for me.