If you want to delete items after some time, e.g. after a month, just use Time To Live option. It will not count write units.
In your case, I would add ttl when logs expire and leave those after a user is deleted. TTL would make sure logs are removed eventually.
When Time To Live is enabled on a table, a background job checks the TTL attribute of items to see if they are expired.
DynamoDB typically deletes expired items within 48 hours of expiration. The exact duration within which an item truly gets deleted after expiration is specific to the nature of the workload and the size of the table. Items that have expired and not been deleted will still show up in reads, queries, and scans. These items can still be updated and successful updates to change or remove the expiration attribute will be honored.
https://docs.aws.amazon.com/amazondynamodb/latest/developerguide/TTL.html https://docs.aws.amazon.com/amazondynamodb/latest/developerguide/howitworks-ttl.html