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が多くて

there are many ... and/because

→ が
phrase Rare #23,486
there are many ... and/because The particle が marks what is numerous, and 多くて is the て-form of 多い. It often gives a reason or connects to a result, and the rest of the sentence may be left unstated when the meaning is obvious from context.
JA: 仕事が多くて、今日は早く帰れません。
EN: I have a lot of work, so I can't leave early today.

まったく、宿題が多くていやになるよ。

Ugh, I hate having so much homework.

結構人が多くて結構賑やかだ。

There are quite a lot of people, and it's pretty lively.

最近は注文が多くてね

I've been getting a lot of orders lately.

— 戦争と女の顔 (2019)

来たいという奴が多くて大変だったよ

There were so many people who wanted to come that it was a real hassle.

— フィールド・オブ・ドリームス (1989)

これでパーシュカのシャツを注文が多くて時間がない

I have so many orders that I don’t have time to order Pashka’s shirt.

— 戦争と女の顔 (2019)

やることが多くて

I have so much to do.

— オープン・ユア・アイズ (1997)

この本は漢字が多くて難しいです。

This book is difficult because it contains a lot of kanji.

授業と研究もあってやることが多くて…

With classes and research too, I have so much to do...

— ビッグ・シック ぼくたちの大いなる目ざめ (2017)

芝居系は入れないようにしてるけどー数が多くてねそれに、良い情報源なんだ

I try not to include theater-related ones, but there are just so many. Besides, they’re a good source of information.

— ダーク・プレイス (2015)