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create table t(Client int, StartDate date, EndDate date);
insert into t select 1 , '1-Jan-22', null ;
insert into t select 2 , '1-Jan-22', '3-Jan-22';
insert into t select 3 , '3-Jan-22', null ;
insert into t select 4 , '4-Jan-22', '5-Jan-22';
insert into t select 5 , '4-Jan-22', '6-Jan-22';
insert into t select 6 , '7-Jan-22', '9-Jan-22';

6 rows affected
with dates as (
select top(9) Convert(date,DateAdd(day, -1 + Row_Number() over(order by (select null)), '20220101')) dt
from master.dbo.spt_values
)

select d.dt [Date], c.NumActive
from dates d
outer apply (
select Count(*) NumActive
from t
where d.dt >= t.StartDate and (d.dt <= t.EndDate or t.EndDate is null)
)c;

Date NumActive
2022-01-01 2
2022-01-02 2
2022-01-03 3
2022-01-04 4
2022-01-05 4
2022-01-06 3
2022-01-07 3
2022-01-08 3
2022-01-09 3