使合同得以顺利的进行,英语怎么说?

to ensure the contract to be processed in a smooth way

successfully perform the contract
参考：
（To take action in accordance with the requirements of; fulfill:
履行：根据…需要而采取行动；满足：
perform one's contractual obligations.
履行合同规定的义务）

so as to carry out the contract in a smooth way

to ensure the contract to be processed in a smooth way
to make the contract go forward (不太正式，但如果和客户不是特别紧张的关系应该也可以用的。)

To ensure the contract to be performed in a smooth way.