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LiOH is Li+ OH- and the bond here is ionic. In OH- the hydrogen atom is covalently bonded to oxygen.

An advanced point is that Li salts are well known to have some covalent character. this is due to the size of the Li ion which is smaller than the other members of group 1 and is therefore more polarizing that is to say it distorts the electron cloud on the anion. This is quite marked in the halides where the solubility is less than expected.

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