Suggestions.

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Note added at 18 mins (2020-11-22 00:42:25 GMT)
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Overcome difficult situations (an other option)

man's ability to tame adverse situations

.

to overcome adversity , or adversities
to beat the odds
to Overcome Difficult Situations
to remove stubborn problems
to skip tough problems

Why this answer ?
ترويض= you need to see the meaning of this word in Arabic dictionary
https://www.almaany.com/ar/dict/ar-ar/روض/

and best option and more suitable to this context is : يذلل
يذلل = overcome and tame
to tame some wild animal like the lion , it can be in figure speech.
to overcome: the hard times, the problems and so on

وإمكاناته في ترويض الأوضاع المناوئة
and his ability to overcome adversity (nice one ? )
and his capabilities to overcome the difficulties (good one ? )

Your question must be now : where is اوضاع مناوئة in your translation?!

اوضاع= cases, atmospheres , surroundings and situations
مناوئة= hostile or adverse , something is just works against your interest , like an enemy .

These two words we can reduce and make it one : adversity.
A word that English speaker find no problem to cope with ! (cope with ... another option)

Hopefully it is useful.



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Note added at 8 hrs (2020-11-22 08:41:06 GMT)
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How To Overcome Adversity And Hard Times (9 Strategies)
https://projectlifemastery.com/overcome-adversity/

How to Overcome Adversity
http://www.wikihow.com/Overcome-Adversity

4 Proven Ways to Overcome Adversity - Psych Central
https://psychcentral.com/blog/4-proven-ways-to-overcome-adve...

The Secret of Champions: 5 Tips on Overcoming Adversity
https://inspiyr.com/how-to-overcome-adversity/

70 Adversity Quotes Honoring Your Ability to Overcome ...
https://everydaypower.com/overcome-adversity-quotes/

5 Ways to Beat the Odds and Be at Your Best - You Have A .
https://youhaveacalling.com/productivity/5-ways-beat-odds-be...

Will Trump Beat the Odds? Are You Willing to Bet on It .
https://reason.com/2020/10/21/will-trump-beat-the-odds-are-y...

I Beat the Odds: From Homelessness, to the Blind Side, and
https://www.goodreads.com/book/show/8507545-i-beat-the-odds