经过Google查证，可以发现确有这种外文搭配，如：

承担费用Assumption of Expenses. Purchasers shall defray the expenses listed on Schedule 5.2 hereof of Webb & Company, P.A., Schneider Weinberger & Beilly LLP, Martin Scott and Goldstein, Lewin & Company, P.A. in connection with the preparation and completion of EVLO’s 2005 audit and the filing of EVLO’s Form 10-KSB Annual Report. In addition, at the time of Closing, Purchasers shall reimburse Diversifax for expenses incurred and paid by Diversifax in the amount of $53,339.

https://www.lawinsider.com/clause/assumption-of-expenses

承担义务Assumption of Obligations and Liabilities. At the Closing, AOR Management shall assume and agree to pay or perform, promptly as they become due, only those obligations and liabilities of TROG, ACC and ACC II expressly set forth below in this Section 3.03 (such Party's obligations and liabilities are referred to herein as the "Assumed Obligations"). Except for the Assumed Obligations, neither AOR nor AOR Management shall assume or be deemed to have assumed and shall not be responsible for any other obligation or liability of such Party, direct or indirect, known or unknown, choate or inchoate, absolute or contingent.

https://www.lawinsider.com/clause/assumption-of-obligations-and-liabilities

但根据元照英美法词典的释义：（1）假定；臆断 （2）担任；承担；承继(他人的债务)，以及其英文法律释义（The undertaking of the repayment of a debt or the performance of an obligation owed by another. When a purchaser of real property assumes the mortgage of the seller, he or she agrees to adopt the mortgage debt, becoming personally liable for its full repayment in case of default.）可以发现这一术语更多的用于承担债务，如相应的有以下条款：

assumption clause 承担债务条款。抵押条款之一，规定无抵押权人的书面许可，他人不可承担抵押债务。也是权利转让合同条款之一，规定受让人自愿承担出让人的债务。

assumption fee (抵押)承担办理费。贷方向承担已有抵押债务的抵押物的新买主收取的变更记录办理费。

因此，文件比较严谨时，建议可将承担处理为“undertaking”，这样更能准确一些。

相关双语示例如下：

合资公司设立费用的承担

AAA因设立合资公司支付的相关费用（包括但不限于第三方收取的服务费及政府费用、资产评估费等），经董事会确认后应作为AAA向合资公司出资的一部分，在AAA后续向合资公司的出资中可以扣减。

Undertaking of establishment expenses of the JVC

The relevant expenses (including but not limited the service fees charged by a third party, government fees and asset appraisal fees) that AAA pay in relation to the establishment of the JVC, upon the confirmation of the Board of Directors, shall be deemed as part of capital contribution made by AAA to the JVC and may be deducted from the subsequent capital contribution made by AAA to the JVC.