CB 5.5 - What happens when index partion hashes are updated?

So question. I’ve spoken to some solutions engineers at couchbase. They’ve said that if I delete the record then insert the record again it should remove the old data in the index only keeping the latest version. My question is on how data is handled across data centers on couchbase clusters. We have multiple data centers with the same cluster set up. Both have access to the same records. If I delete data from via the java sdk is it deleted from both clusters in both data centers from the data and index nodes?