I remember reading this manga long ago (I think its completed or whatver), but this manga was a this girl with short hair who wield a scythe who is around 12 and has short hair chasing someone down for her grandfather.. 😕 Or a relative of some sort.
And the person she had been looking for (who is an older man), and her start to bond or become friends or something.

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I'm also looking for another manga, where the Female mc has long hair with bangs (that's depicted to be a light colour of aomething) inherit a shady business (I think it was a love hotel or something) or probably finds out her parents ran the buisness; And she's trying to take it back but the current owner who is also the Male lead (black hair age 22 or something like that) thinks that's she naive and ignorant of the ways. She ends up going there everyday (or working there I think) and meets this really 'nice guy' in comparison to the owner. But then it out that the nice guy is actually a sadist and she gets tied up on a cross thing and the owner saves her.

Perhaps Meteor Methuselah for the first request?

Yes indeed! Thanks 😀