I Virtual Photons: The Long-Distance Repulsion of Electrons

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My understanding is that the repulsion between two electrons is mediated by the exchange of virtual photons – virtual meaning not lasting long enough to be detected. But suppose one of the electrons is in the sun and the other on Earth. There should still be a repulsion because the electromagnetic interaction has infinite range. Do the virtual photons last 8 minutes? If a photographic plate is placed between the two electrons, will the virtual photons be absorbed and recorded? Or, will they still reach the other electron to complete the exchange?
 
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