The estimated time of death is believed to be in early October, but due to the severe damage to the body, the police are investigating the circumstances of the death and whether foul play was involved.
こんにちは！
ご質問ありがとうございます。
ご質問について、いくつか言い方が考えられますが、例えば、
The estimated time of death is believed to be in early October, but due to the severe damage to the body, the police are investigating the circumstances of the death and whether foul play was involved.
とすると、『[死亡](https://eikaiwa.dmm.com/uknow/questions/87817/)推定日時は１０月上旬と推定されていますが、遺体の損傷が激しい為、警察は事件性の有無や死亡の経緯を詳しく調べています』となります。
参考になれば幸いです。
日本 
