(Doc+) Error "number of documents in the index can't exceed" (#110449)

* (Doc+) Error "number of documents in the index can't exceed"

👋 howdy, team! 

This adds resolution outline for error ... which induces ongoing, lowkey support
```
Number of documents in the index can't exceed [2147483519]
```

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Co-authored-by: David Turner <david.turner@elastic.co>

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Co-authored-by: David Turner <david.turner@elastic.co>
Co-authored-by: Liam Thompson <32779855+leemthompo@users.noreply.github.com>

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* Test change to address docs check failure

* Revert test change

* Test docs check

---------

Co-authored-by: David Turner <david.turner@elastic.co>
Co-authored-by: Liam Thompson <32779855+leemthompo@users.noreply.github.com>

docs/reference/how-to/size-your-shards.asciidoc

@@ -544,3 +544,36 @@ PUT _cluster/settings
   }
 }
 ----
+
+[discrete]
+==== Number of documents in the shard cannot exceed [2147483519]
+
+
+Elasticsearch shards reflect Lucene's underlying https://github.com/apache/lucene/issues/5176[index 
+`MAX_DOC` hard limit] of 2,147,483,519 (`(2^31)-129`) docs. This figure is
+the sum of `docs.count` plus `docs.deleted` as reported by the <<indices-stats,Index stats API>> 
+per shard. Exceeding this limit will result in errors like the following:
+
+[source,txt]
+----
+Elasticsearch exception [type=illegal_argument_exception, reason=Number of documents in the shard cannot exceed [2147483519]]
+----
+
+TIP: This calculation may differ from the <<search-count,Count API's>> calculation, because the Count API does not include nested documents.
+
+
+Try using the <<indices-forcemerge,Force Merge API>> to clear deleted docs. For example:
+
+[source,console]
+----
+POST my-index-000001/_forcemerge?only_expunge_deletes=true
+----
+// TEST[setup:my_index]
+
+This will launch an asynchronous task which can be monitored via the <<tasks,Task Management API>>. 
+
+For a long-term solution try:
+
+* <<docs-delete-by-query,deleting unneeded documents>> 
+* aligning the index to recommendations on this page by either 
+<<indices-split-index,Splitting>> or <<docs-reindex,Reindexing>> the index