If ignoring those objects causes the effect's conditions to no longer be met, the duration will expire
As mentioned already, it is both an enabler and payoff on its own
Legendary Land Color tag templates(None) Plains Basic Land - Plains Color tag templates(None) Polluted Delta , Pay 1 life, Sacrifice this land: Search your library for an Island or Swamp card, put it onto the battlefield, then shuffle
Rare: 26 types
A common line of play will be to resolve All Hallows Eve, and then to activate Bazaar of Bagdad three times before the All Hallows Eve effect takes place (tapping Bazaar once on the turn Eve is cast, once on the next turn, and finally again on the next upkeep before the last scream counter is removed)
I can only begin to imagine how pretty this will be in foil