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Under the folder /var/log/roler_t, we have the following files:

-rw-r--r-- 1 roler smike 37652 Jun 25 01:44 2018-06-23T02:KJU:00
-rw-r--r-- 1 roler smike 41742 Jun 25 01:45 2018-06-21T20:KJU:00
-rw-r--r-- 1 roler smike 36762 Jun 25 01:46 2018-06-22T08:KJU:00
-rw-r--r-- 1 roler smike 51764 Jun 25 01:47 PL-06-23T12:KJU:00
-rw-r--r-- 1 roler smike 42751 Jun 25 01:48 2018-06-21T16:KJU:00
-rw-r--r-- 1 roler smike 34627 Jun 25 01:49 2018-06-22T23:KJU:00
-rw-r--r-- 1 roler smike 59828 Jun 25 01:51 2018-06-23T05:KJU:00
-rw-r--r-- 1 roler smike 33561 Jun 25 01:52 2018-06-22T20:KJU:00
-rw-r--r-- 1 roler smike 59828 Jun 25 01:51 JFG:KJU:00
-rw-r--r-- 1 roler smike 33561 Jun 25 01:52 PL-22T20:KJU:00
-rw-r--r-- 1 roler smike 36643 Jun 25 01:53 2018-06-22T01:KJU:00

How can we remove only the files that are older than ten days and have a specific date pattern, for example 2018-06-23.

Expected results are as follows:

the following files will stay under /var/log/roler_t

-rw-r--r-- 1 roler smike 51764 Jun 25 01:47 PL-06-23T12:KJU:00
-rw-r--r-- 1 roler smike 59828 Jun 25 01:51 JFG:KJU:00
-rw-r--r-- 1 roler smike 33561 Jun 25 01:52 PL-22T20:KJU:00

You can filter your files by date with the find command.

For example:

find /var/log/roler_t -mtime +10

returns all files with modification date > 10 days.

Similarly you can use flags like -atime (access time), -ctime (status change time), but I think -mtime is what you're looking for.

If you want to remove them with a single command (but I suggest you always check before if the results of find are what you're expecting):

find /var/log/roler_t -mtime +10 -exec rm ;

This is similar to your earlier question, you can achieve this by the following

$ find /var/log/roler_t -mtime +10 -name "XXXX-XX-XX*"

where XXXX-XX-XX is the datestamp you are looking for. If you know that the year month and day correspond to the modification time you are looking for you coul change the argument to the -name option to be something like this:

$find /var/log/roler_t -mtime +10 -name "`date -d'now - 10 days' +'%y-%m-%d'*"

to automatically generate the filename prefix, though you may need to play with the date command number of days you subtract to be sue the mtime and the datestamp match what you need.

If you just want to match the names of files that begin with a datestamp like string, e.g. '2018-09-13' then use the following:

/var/log/roler_t -mtime +10 -name "[12][0-9][0-9][0-9]-[01][0-9]-[0-3][0-9]*"