We've been having a lot of overcast weather this week.
The weather doesn't seem to be clearing up at all this week.
ーWe've been having a lot of overcast weather this week.
「今週はずっと 陰気な天気が続いている」
We've been having ... を使って表現することができます。
overcast で「曇った・陰気な」
weather で「天気」
ーThe weather doesn't seem to be clearing up at all this week.
「今週はずっと天気がすっきりしない」
to clear up で「晴れる・すっきりする」
ご参考まで！
カナダ 
