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These have all been created by a variety of well-known constructors. There may be one or two that we might question, but they're still fun. Please explain all answers.
-1. They make believe President accepts offer (10)
-2. Trade rabbit's feet back (4)
-3. Hero not used to an audience (4)
-4. Roadside markers in Miami, lest one stray (10)
-5. Make holes in puzzle (6)
-6. Thinks batter is in game (8)
-7. Band starts to haggle over old piano (4)
-8. Trail menacingly after first conversation (4)
-9. Thorn's sharp? Not necessarily (10)
-10. Tough question for model (5)