Open sth up; open up: to become or make something possible, available or able to be reached (使某事物)成为可能,可得到,可达到

The railway opened up the east of the country. 铁路使这个国家的东部不再闭塞.

Exciting possibilities were opening up for her in the new job. 新工作为她带来了令人兴奋的发展前途.

2.Before you implement your plans,you must have a profound knowledge of markets there.

Implement: to carry out使生效;贯彻;执行;实施

to implement changes/decisions/policies/reforms 实行变革;执行决议╱政策;实施改革

have a profound knowledge of sth:对…有深入了解

profound: showing great knowledge or understanding 知识渊博的;理解深刻的;深邃的

profound thought/understanding/insights 深邃的思想／理解／见解

a profound book/drama 深奥的书／戏剧

3.You can entrust the study of the situation there to us.

'entrust'就是"委托,交托,托付"的意思.通常搭配是:entrust A to B; entrust B with A.

He entrusted the task to his nephew. 他把这任务托付给了他的姪儿.

He entrusted his nephew with the task. 他把这任务托付给了他的姪儿.

4. Yon can rest assured of our ability.

'rest assured'通常后面跟that从句,意思是"深信无疑,非常肯定". To be completely certain or confident that...

You can rest assured that we will do everything we can to get your money back. 你尽管放心,我们会想尽一切办法把你的钱要回来.