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Roman
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ListPlot[
  Join[Select[data1{Select[data1, #[[1]] <= 0 &], Select[data2, #[[1]] >= 0 &]]&]}, 
  PlotRange -> {{-0.5, 0.5}, {0, 1.5}}, Frame -> True, 
  ImageSize -> 400, AspectRatio -> 2/3]

enter image description hereenter image description here

ListPlot[
  Join[Select[data1, #[[1]] <= 0 &], Select[data2, #[[1]] >= 0 &]], 
  PlotRange -> {{-0.5, 0.5}, {0, 1.5}}, Frame -> True, 
  ImageSize -> 400, AspectRatio -> 2/3]

enter image description here

ListPlot[{Select[data1, #[[1]] <= 0 &], Select[data2, #[[1]] >= 0 &]},
  PlotRange -> {{-0.5, 0.5}, {0, 1.5}}, Frame -> True, 
  ImageSize -> 400, AspectRatio -> 2/3]

enter image description here

Source Link
Roman
  • 49.8k
  • 2
  • 57
  • 131

ListPlot[
  Join[Select[data1, #[[1]] <= 0 &], Select[data2, #[[1]] >= 0 &]], 
  PlotRange -> {{-0.5, 0.5}, {0, 1.5}}, Frame -> True, 
  ImageSize -> 400, AspectRatio -> 2/3]

enter image description here