The phrase "closely pursuing" is correct and usable in written English.
It can be used to describe someone or something that is following or attempting to catch up with another person or thing. For example: The police car was closely pursuing the suspect's vehicle.
Closely pursuing Audi here this year will be entries from Toyota, which have scored some important victories leading up to Le Mans in other endurance match-ups against Audi.
Although the byways are so narrow and circuitous that there is a top speed limit of 35mph, it doesn't stop locals in their Chelsea tractors from closely pursuing visitors, whose hire cars are identified by a big "H" (like the big "A" worn by the adulteress Hester Prynne in Nathaniel Hawthorne's The Scarlet Letter).
At the Red Sea, they discover that Rameses is closely pursuing them with his army.
Meanwhile, as the 20th Army veered to the west as part of the Chinese main effort against Seoul, the Chinese 118th Division continued its secondary advance down the Kapyong Valley, closely pursuing the retreating South Koreans.
Closely pursuing the Allied fleet was an equivalent British Royal Navy force under Vice-Admiral Lord Nelson, which reached the Caribbean on 11 June and found that Villeneuve had already begun the return journey to Europe.
Making a fighting withdrawal with the Germans of Kampfgruppe Krafft closely pursuing them, the units fell back across LZ 'L', defended by the King's Own Scottish Borderers who were awaiting the arrival of the Glider borne elements of the Polish Parachute Brigade.
The notion of the centrality of Manchester is closely pursued by Gee who is by profession a geography teacher with a particular interest in the urban landscape.
He has been shot with a poison arrow and is being closely pursued by poachers intent on harvesting his enormous tusks.
His killing has stirred national outrage and protests because there is evidence he called out in alarm over his cellphone as the armed stranger closely pursued him.
The top scorers' chart after 19 games sees Everton's Romelu Lukaku and Jamie Vardy of Leicester leading the way on 15 goals each, closely pursued by Odion Ighalo of Watford.
A month ago, Ségo and Sarko, as the papers call them, were pretty much equal in the polls, but they were closely pursued by François Bayrou, the avowedly centrist president of Giscard's party, the Union for French Democracy, or U.D.F.
