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The common set would need to be within the bounds of both of the sets described - or 'in the middle' as you put it. My interpretation of the term 'numbers with stright lines' (sic) is those numbers which, when drawn in the generally accepted way, contain a straight line.

Taking the numbers from 1 to 10 the sets would be as follows:

Even numbers: 2, 4, 6, 8, 10

Numbers with straight lines: 1,2,4,5,7,10

Even numbers with straight lines ('in the middle'): 2, 4, 10

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