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Давайте разберём каждое предложение, переписывая его с использованием "because" и "so":

1. Исходное: I live quite far. I'm going to be late.

   С "because": I'm going to be late because I live quite far.

   С "so": I live quite far, so I'm going to be late.

2. Исходное: I have some errands to run. I'm going to see you later.

   С "because": I'm going to see you later because I have some errands to run.

   С "so": I have some errands to run, so I'm going to see you later.

3. Исходное: She is ill. She is not going to come to the party.

   С "because": She is not going to come to the party because she is ill.

   С "so": She is ill, so she is not going to come to the party.

4. Исходное: He's got a broken leg. He's not going to play basketball.

   С "because": He's not going to play basketball because he's got a broken leg.

   С "so": He's got a broken leg, so he's not going to play basketball.

Каждое изменение добавляет причину ("because") или следствие ("so"), помогая связать предложения логично.