Oracle 21c

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Create Table table_name(Person VARCHAR(50), Entrance DATE, Exit DATE);
Insert All Into table_name Values('One',TO_DATE('09-08-2022','dd-mm-yyyy'),'')
Into table_name Values('One','',TO_DATE('10-08-2022','dd-mm-yyyy'))
Into table_name Values('One',TO_DATE('10-08-2022','dd-mm-yyyy'),'')
Into table_name Values('One','',TO_DATE('13-08-2022','dd-mm-yyyy'))
Into table_name Values('Two',TO_DATE('08-08-2022','dd-mm-yyyy'),'')
Into table_name Values('Two','',TO_DATE('12-08-2022','dd-mm-yyyy'))
Select 1 From DUAL;
6 rows affected

Select D.Person,MAX(Entrance) Entrance, MAX(Exit) Exit
From
(
  Select table_name.*,
         MOD(ROW_NUMBER() Over (Partition By Person Order By Entrance, Exit), 
         COUNT(*) Over (Partition By Person)/2) grp
  From table_name
) D
Group By D.Person, D.grp


PERSON
ENTRANCE
EXIT


One
09-AUG-22
10-AUG-22

One
10-AUG-22
13-AUG-22

Two
08-AUG-22
12-AUG-22

PERSON	ENTRANCE	EXIT
One	09-AUG-22	10-AUG-22
One	10-AUG-22	13-AUG-22
Two	08-AUG-22	12-AUG-22