Clark's process involves the addition of a controlled quantity of slaked lime (calcium hydroxide)
Ca(HCO3)2(aq) + Ca(OH)2(aq)2CaCO3(s)
+ 2H2O(l)
Mg(HCO3)2(aq) + Ca(OH)2(aq)CaCO3(s)
+ MgCO3(s) + 2H2O(l)
Slaked lime is itself a source of calcium ions (and hence hardness) so care must be taken to avoid adding an excess.