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the key here is that there are 3 F atoms in ClF3 and only two O atoms in SO2.... and as already told you that the difference b/w the electronegativity of F and O is bit high....so definitely ClF3 will be more ionic than SO2....
when you arrange all of them now...N2 < SO2 < ClF3 < K2O < LiF
ClF3 is more ionic than SO2 ..
i think the given solution in the problem you have given is incorrect , maybe a printing mistake , but here is the solution above.
source : it came for my school exam , and i got it right :D
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