how to put deletion log into file in append mode in AIX?

Question

I want to delete multiple files and record those file name into another file. I am using following command

$find . -name '*.log' -mtime +2 -ls -exec rm {} \;  >deletelog

it is working fine. But the problem is if I run the same command again, It will totally replace the file that I named as deletelog. How to append the log so that I can run the command multiple times, and log will append on the file?