The fast bowling duo come in for the injured Dale Steyn, who has been ruled out of the series due to a heel injury he picked in the Proteas 72-run victory over the tourists at Newlands.
Olivier has played five Tests - all of them in 2017 - and Ngidi made his global debut in a T20I against Sri Lanka past year but is yet to play the other two formats at the worldwide stage.
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Ngidi, 21, is uncapped at test level but has played three Twenty20 internationals and is regarded as one of the finest up-and-coming fast bowling talents in South Africa. In five Tests, he has 17 wickets at 23.11. He played all those matches against Sri Lanka past year in January, and took 4 for 19 in Johannesburg. But his muscle and back injury forced him to stay out of the squad as he took four months to recover.
Currently, both of them are playing in the domestic one-day cup and that the two will compete with allrounders Chris Morris and Andile Phehlukwayo for one spot in the Playing XI. Virat Kohli and Co. will now aim to bounce back in the second Test, which is scheduled to begin from January 13.
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Olivier could be a straight swap for Steyn if South Africa look for a bowler who can provide them with good bounce off the wicket.
FULL PROTEAS SQUAD: Faf du Plessis (captain), Hashim Amla, Temba Bavuma, Quinton de Kock, Theunis de Bruyn, AB de Villiers, Dean Elgar, Keshav Maharaj, Aiden Markram, Morne Morkel, Andile Phehlukwayo, Vernon Philander, Kagiso Rabada, Dale Steyn.
Copa del Rey Report: Real Madrid v Numancia 10 January 2018
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