〜させてもらう / 〜させていただく

Honjitsu wa, atarashii purojekuto ni tsuite setsumei sasete itadakimasu.

Today, please allow me to explain the new project.

Kibun ga warui node, kyō wa hayame ni kaerasetemoratte mo ii desu ka.

I don't feel well, so would it be alright if I left early today?

Senpai ni adobaisu o itadaita node, mō ichido kangaenaosasete itadakimasu.

Since I received advice from my senior, I will take the liberty of reconsidering it.

Kono shiryō o kopī sasete moratte mo yoroshii deshō ka.

Would you mind if I made a copy of these materials?

Makoto ni katte nagara, raishū no getsuyōbi wa oyasumi o sasete itadakimasu.

I am very sorry for the inconvenience, but I will be taking next Monday off.

Tomodachi kara jitensha o karite, tsukawasete moratta.

I borrowed a bicycle from my friend and was kindly allowed to use it.