The matter in dispute is the ownership of the house.

眼下的纠纷是这所房子的所有权问题。

《新英汉大辞典》

The matter in dispute over trifles is the ownership of the house.

眼下扯皮的事是这所房子该归谁。

《新英汉大辞典》

Establishes the roles and responsibilities for the outside mentoring organization, and the expected transition or process ownership to the new, in-house process group.

为外部指导的组织设立角色和职责，并且对新的，内部的过程组设立预期的转换或过程所有权。

youdao

In the past, the argument has been that in-house ownership of both a mutual fund group and a retail brokerage could increase revenues through cross selling.

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Clear ownership of in-house operational tasks versus those assumed by the service provider.

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Just as the value of a company's shares should equal the discounted present value of its future profits, so the price of a house should reflect the future benefits of ownership, either as rental income or in the rent saved by an owner-occupier.

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