Conspiracies

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But there was no trace of a plane, and when the planes hit the twin towers, the building collasped like it was being demolished

No trace of a plane? It was all over the crash site!

As for the buildings collapsing like they were demolished...nope. The started to crumble in on themselves where the planes crashed and not from the ground. The weight of the top floors falling on the lower levels is like dominos. On top of that there was no flash to indicate an explosion. Even further the heat from all the fire and the initial crash would have set off any explosives set at that level.