Neither is natural English. For the first one you can say "I saw her recently". Probably that is what you mean.
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lucas21c1. How about "I have seen her lately"?In affirmative sentences, "lately" is most often used in reference to a continuous state or to regular or repeated activity. If you are talking about a single sighting then "I saw her recently" is better (or "I saw her the other day", or whatever). If you are talking about several sightings then "lately" can