尽管对大脑有一定程度的损害，却事实却是如此。

This was true even if there is a significant amount of damage in the brain.

youdao

许多美国人认为墨西哥是一个廉价的度假、购物和聚会的地方，却忽略了一个事实，即当地的穷人负担不起参加狂欢的费用。

The way many Americans view Mexico-as a cheap place to vacation, shop and party, all while ignoring the fact that the poorer locals can't afford to join the merrymaking.

youdao

尽管事实上这种疾病非常普遍，治疗却远不尽如人意。

Despite the fact that the disease is so prevalent, treatment is still far from satisfactory.

《柯林斯英汉双解大词典》

How then can we justify the ways of God to men? How can we justify the fact that the abstinent Orpheus, the virtuous Orpheus, ? was so brutally assaulted and without any aid from the higher powers?

如何证明上帝待人之法？，如何解释俄耳甫斯这样一个,节制欲望，贞洁自守的人竟会遭到如此残忍的谋害，却得不到任何更高力量的援助这样一个事实？

耶鲁公开课 - 弥尔顿课程节选

Now you'd hope that it would be a small percentage of the population that would be affected by this but it's not.

尽管你希望只有很少一部分人,存在这个问题,但事实却不是如此

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

The best regime embodies a supreme paradox it would seem. It is superior in some ways to all actual regimes but it has no concrete existence anywhere.

最优的政体体现了至高的矛盾,看起来，它似乎在某些层面,优于所有现行的政体,但却缺乏具体的存在事实。

耶鲁公开课 - 政治哲学导论课程节选