1. had been invited
said动作发生的时候“被邀请”已经发生了，所以用表达“过去的过去”的过去完成时。
2. were being taken care of
从at the moment“那时”可判断出应该用过去进行时(的被动)。
would be invited
are being taken care of
They said they had been invited to the party.
The children were being taken care of by their grandmother at the moment.
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