I believe this modified snippet will work for you. Substitute the names you want to use for the myName entries.
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With ActiveSheet.Shapes.AddChart.Chart .SetSourceData Source:=Union(RNG1, RNG2, RNG3) .ChartType = xlColumnClustered .SeriesCollection(2).ChartType = xlLine .SeriesCollection(1).Name = "myName1" .SeriesCollection(2).Name = "myName2" .SeriesCollection(3).Name = "myName3" .PlotBy = xlRows End With
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