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Two animals are related when they have one (or more) ancestors in common. For example, you are related to your cousin because you have the same grandparents, they are your common ancestors. Because you have common ancestors, you and your cousin will have part of your alleles in common. The key-issue is that related individuals have alleles in common.Thus

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Thus:

Related individuals have similar alleles

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The more generations to the common ancestor, the less related two animals are. The less two mated animals are related, the smaller the probability that the same allele is passed on to their offspring, so the less the offspring is inbred.Thus

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Thus

Inbreeding level level decreases with decreased relatedness between parents