welcome to the forum, Whraith. so a combination of John & France would only appear twice & you want the end date of the 1st instance to be filled with the start date of the 2nd instance? try this in E2:
=IF(COUNTIFS(A$2:A2,A2,B$2:B2,B2)=1,LOOKUP(2,1/(($A$2:$A$10=A2)*($B$2:$B$10=B2)),$D$2:$D$10),"")
format to date
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