To remove duplication of data if within 7 days - sql-server

Question

Following is my table and sample data
DECLARE #Employee_Log table(ID int,eid int, ecode varchar(100), emp_startdate date)
INSERT INTO #Employee_Log
SELECT 1, 1, 'aaa','2019-01-01'
UNION ALL
SELECT 2, 1, 'aaa','2019-01-05'
UNION ALL
SELECT 3, 1, 'bbb','2019-01-03'
UNION ALL
SELECT 4, 2, 'aaa','2019-01-03'
UNION ALL
SELECT 5, 1, 'aaa','2019-02-01'
UNION ALL
SELECT 6, 1, 'aaa','2019-02-15'
UNION ALL
SELECT 7, 1, 'aaa','2019-02-19'
UNION ALL
SELECT 8, 1, 'aaa','2019-02-28'
In the above data I want to remove the duplication based on eid and ecode .If the emp_startdate are within 7 days then take the latest data and ignore the rest data.
I tried the following code but how to add the condition check for week range
SELECT
ROW_NUMBER() OVER(PARTITION BY eid,ecode ORDER BY emp_startdate desc) as rownum,
ID,eid,ecode,emp_startdate
FROM #Employee_Log
I want the result as shown below
ID eid ecode emp_startdate
2 1 aaa 2019-01-05
5 1 aaa 2019-02-01
4 2 aaa 2019-01-03
7 1 aaa 2019-02-19
8 1 aaa 2019-02-28
3 1 bbb 2019-01-03

Answer 1

I am still not sure what you want to happen if more than 2 events happen in the same 7 days. But this solution will get the latest date of all series of dates where the difference between dates is 7 days or less.
select ID,eid,ecode,emp_startdate
from
(
select ID,
eid,
ecode,
emp_startdate,
datediff(day
,emp_startdate
,lead(emp_startdate)
over
(partition by eid,ecode order by emp_startdate)) l
from #Employee_Log
) a
where l is null or l>7
ID eid ecode emp_startdate
-- --- ----- -------------
3 1 bbb 2019-01-03
2 1 aaa 2019-01-05
5 1 aaa 2019-02-01
7 1 aaa 2019-02-19
8 1 aaa 2019-02-28
4 2 aaa 2019-01-03

Answer 2

The following query will give you what you have asked to get in plain English in your question but your sample data and desired output contradicts your own question:
SELECT *
FROM
(
SELECT
ROW_NUMBER() OVER (PARTITION BY eid , ecode , YEAR(emp_startdate)
, DATEPART(WEEK, emp_startdate)
ORDER BY emp_startdate DESC
) AS rownum
, ID
, eid
, ecode
, emp_startdate
FROM #Employee_Log
) x
WHERE x.rownum = 1;