They are living their day-to-day lives without worrying too much about the corona virus.
ご質問ありがとうございます。
"They are living their day-to-day lives”=「彼らは日常生活を歩んでいる」
"without worrying too much about the corona virus."=「コロナのことをあまり気にせずに。」
追加:"For example, they don't seem to be wearing a mask outdoors."=「例えば、彼らは屋外であまりマスクを身に着けていないようだ。」
ご参考に。