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し、私が

and I

→ し
phrase Rare #40,759
and I し links this clause to another fact or reason; 私が means “I” as the subject. The exact connection depends on the surrounding sentence.
JA: 彼は料理が得意だし、私が片づけるよ。
EN: He’s good at cooking, and I’ll clean up.

船には信頼できる乗組員がいるし、私が航海に出るとは誰も思わないだろう。

The ship has a reliable crew, and no one would expect me to set sail.

受け取った人は、そちらで安く買える品物を買えるし、私がここまで運べる。

The recipient can buy items more cheaply over there, and I can bring them all the way here.

君たちは全員、私たちの会話を聞いていたし、私が話すあいだに提案もしてくれた。

All of you listened to our conversation and even made suggestions while I was speaking.