YOU SAID:

I'm afraid your insurance policy wan't be renewed before next week.

INTO JAPANESE

来週までに保険契約が更新されないのではないかと思います。

BACK INTO ENGLISH

I don't think the insurance policy will be renewed by next week.

INTO JAPANESE

来週までに保険が更新されるとは思いません。

BACK INTO ENGLISH

I don't think my insurance will be renewed by next week.

INTO JAPANESE

私の保険は来週までに更新されるとは思わない。

BACK INTO ENGLISH

I don't think my insurance will be renewed by next week.