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[fw]

I�m interested in the meaning of the phrase �would + have + �the past participle.�� I have tried to paraphrase the colored sentence. The following is what I have paraphrased it. Am I correct?

It is estimated that the historically documented events accompanying the establishment of the Mongol Empire contributed directly to the spread of this lineage.

Khan�s eldest son, Tushi, is reported to have had 40 sons. Documents written during or just after Khan�s reign say that after a conquest, stealing and rape were the reward of war for all soldiers, but that Khan got first pick of the beautiful women. His grandson, Kubilai Khan, who established the Yuan Dynasty in China, had 22 legitimate sons, and was reported to have added 30 virgins to his palace each year.
�The historically documented events accompanying the establishment of the Mongol Empire would have contributed directly to the spread of this lineage,� the authors conclude.