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Plot hole: One alien egg is shown hanging from the wall at the start of this film, yet there's no way it can be there. The queen didn't take any with her from LV426 in 'Aliens', and if she did, she had no opportunity to place them on the Sulaco between exiting the dropship's landing gear, engaging Ripley and being killed.
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Plot hole: During the scene in Paula's frontroom right after Spike walks in and confronts the astral Mr. Grubeck harassing Robin, he takes a fireplace tool and swings at Grubeck and it naturally goes right through him, to which Grubeck replies, "You can't touch me, but I can touch you." However, just a minute earlier before Spikes arrival, Grubeck had Robin pinned against Paula's refridgerator and Robin physically pushed Grubeck away from her.
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Plot hole: There's no way Dr. Lynn Waldheim's coat would have fitted Carter.
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Plot hole: The rule is Each buries his own as stated in the first movie. So Gus wouldn't have came back to life because he was buried by Drew and Jeff.