中文：

金融信托投资公司的核心业务是受托管理和运用信托财产。信托财产是委托人基于对受托人的信任，将其财产权转移给受托人，由受托人按照委托人的意愿以自己的名义，为受益人的利益或者特定目的进行管理或者处分的财产。金融信托投资公司通过受托管理这些财产，为委托人提供投资、融资、财产保管等金融服务。

在受托管理信托财产的过程中，金融信托投资公司需要按照委托人的意愿和法律规定，对信托财产进行严格的管理和运用。公司需要确保信托财产的合法性、安全性和收益性，同时还需要根据不同的投资目标和风险偏好，制定不同的投资策略和方案，满足委托人的不同需求。

除了受托管理信托财产外，金融信托投资公司还可以提供多种金融服务，如投资咨询、资产管理、证券承销、并购重组等。这些服务都是基于公司对金融市场的深入了解和对不同行业、企业的专业知识，帮助客户实现其财务目标，同时降低风险。

总的来说，金融信托投资公司的核心业务是围绕信托财产展开的，通过受托管理和运用信托财产，为客户提供全方位的金融服务。

英文：

The core business of a financial trust and investment company is to act as trustee and manage and invest trust property. Trust property refers to the property rights that the client transfers to the trustee based on trust, and the trustee manages or disposes of the property in its own name for the benefit of the beneficiary or for a specific purpose in accordance with the client's wishes and legal requirements. Financial trust and investment companies provide financial services such as investment, financing, and property management for clients through trustee management of this property.

In the process of trustee management of trust property, financial trust and investment companies need to strictly manage and invest the trust property in accordance with the client's wishes and legal requirements. The company needs to ensure the legitimacy, safety, and profitability of the trust property, while also developing different investment strategies and plans based on different investment goals and risk preferences to meet different client needs.

In addition to trustee management of trust property, financial trust and investment companies can also provide a variety of financial services such as investment consulting, asset management, securities underwriting, mergers and acquisitions, etc. These services are based on the company's in-depth understanding of the financial market and professional knowledge of different industries and enterprises to help clients achieve their financial goals while reducing risks.

Overall, the core business of a financial trust and investment company is centered on trust property, providing clients with comprehensive financial services through trustee management and investment of trust property.