"achieving that end" is correct and usable in written English.
You can use it to refer to the completion of a specific goal or purpose. For example, "I am confident that with hard work and dedication, I will be successful in achieving that end."
Few, though, can muster Jagger's steely commitment to achieving that end.
Eliminating conflicts of interest and increasing transparency in the securitization process will go a long way to achieving that end.
For Hobbes, the first step toward achieving that end was to get people thinking about — and suspicious about — the sources of faith.
While the goal of most businesses is the greatest monetary profit possible, the goal of good government is the welfare of its citizenry, and achieving that end often requires measures that would never be considered good business.
Still based in his native Midlands, Meadows has spent his life finding unorthodox, wing-and-a-prayer ways of transferring his visions to the screen: Somers Town is just another way of achieving that end.
Legislators may have to judge whether a particular end is socially desirable, whether a proposed policy is the best means for achieving that end, and whether to pursue that policy.
But each host achieves that end by different means.
While Palestinian leadership bears as much blame as Israeli politicians for the lack of progress in achieving that end-result, one would be hard-pressed to argue that Israeli policy, particularly in regard to the settlements, is furthering the hopes of peace.
Does learned helplessness actually achieve that end?
Well, Seyrig was the perfect actress to achieve that end.
In 1987, it sent troops to achieve that end.
