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I have a list:

lis = {"ab","a-1","1-20"}

from which I need to delete elements of lis that has (only) digits on both sides of the hyphen, in each element that contains a hyphen:

res = {"ab","a-1"}

Thanks In advance for any advice...

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You can use DeleteCases, Cases, Select, etc. Here a couple of examples:

DeleteCases[lis, s_?StringQ /; StringMatchQ[s, DigitCharacter..~~"-"~~DigitCharacter..]]

Select[lis, !StringMatchQ[#, DigitCharacter..~~"-"~~DigitCharacter..]&]
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