diff --git a/versioned_docs/version-3.9/how-to-run-applications-with-auditor.mdx b/versioned_docs/version-3.9/how-to-run-applications-with-auditor.mdx
index 0d366d34..2193ad5e 100644
--- a/versioned_docs/version-3.9/how-to-run-applications-with-auditor.mdx
+++ b/versioned_docs/version-3.9/how-to-run-applications-with-auditor.mdx
@@ -110,7 +110,7 @@ You can also apply other configurations, such as TLS and gRPC configurations, fo
 
 After configuring Ledger, Auditor, and the client, you need to start up Ledger and Auditor.
 
-This guide uses a Docker container–based environment in `scalardl-samples` to locally start up Ledger and Auditor. If you have not finished cloning the repository, see [Prerequisites](getting-started.mdx#prerequisites) and [Clone the ScalarDL samples repository](getting-started.mdx#clone-the-scalardl-samples-repository).
+This guide uses a container-based environment in `scalardl-samples` to locally start up Ledger and Auditor. If you have not finished cloning the repository, see [Prerequisites](getting-started.mdx#prerequisites) and [Clone the ScalarDL samples repository](getting-started.mdx#clone-the-scalardl-samples-repository).
 
 For details on how to locally start up Ledger and Auditor in local or cloud-based Kubernetes environments, see [Deploy ScalarDL in your local Kubernetes environment](deploy-local-environment-overview.mdx) or [Deploy ScalarDL in a cloud-based Kubernetes environment](deploy-managed-kubernetes-environment-overview.mdx), respectively.
 
@@ -145,7 +145,7 @@ Select your database, and follow the instructions to deploy ScalarDL Ledger and
 
 You need a commercial license to use ScalarDL Auditor. Set up your license as follows.
 
-1. Enable the Docker image for the Enterprise edition in the `cosmosdb/docker-compose-ledger.yml` file as follows:
+1. Enable the container image for the Enterprise edition in the `cosmosdb/docker-compose-ledger.yml` file as follows:
 
     - Before changing the image (default configuration):
 
@@ -175,7 +175,7 @@ You need a commercial license to use ScalarDL Auditor. Set up your license as fo
    ##### PLEASE REPLACE THIS VALUE WITH YOUR LICENSE KEY (ENTERPRISE EDITION ONLY) #####
    ```
 
-3. To check the license, update the `cosmosdb/docker-compose-ledger.yml` and `cosmosdb/docker-compose-auditor.yml` files as follows. If you're using a trial license, skip this step.
+3. To validate the license by using a certificate, update the `cosmosdb/docker-compose-ledger.yml` and `cosmosdb/docker-compose-auditor.yml` files as follows. If you're using a trial license, skip this step.
 
     - Before changing the certificate file path (default configuration):
 
diff --git a/versioned_docs/version-3.9/how-to-run-applications.mdx b/versioned_docs/version-3.9/how-to-run-applications.mdx
index 7d5a831f..74e08827 100644
--- a/versioned_docs/version-3.9/how-to-run-applications.mdx
+++ b/versioned_docs/version-3.9/how-to-run-applications.mdx
@@ -31,6 +31,7 @@ If you are using the `scalardl-samples` environment, see the `ledger.properties`
 :::
 
 For details about the configurations, see the following:
+
 - [Client configurations](configurations.mdx#client-configurations)
 - [Ledger configurations](configurations.mdx#ledger-configurations)
 
@@ -46,6 +47,7 @@ You can configure an authentication method as follows. The same method (`digital
 You also need to prepare some secret information. If you're using the digital-signature method you need to prepare a certificate and a private key. If you're using the HMAC method, you need to prepare a secret key. For more details about the authentication in ScalarDL, check out the [ScalarDL Authentication Guide](./authentication.mdx).
 
 For details about the configurations, see the following:
+
 - [Client configurations](configurations.mdx#client-configurations)
 - [Ledger configurations](configurations.mdx#ledger-configurations)
 
diff --git a/versioned_docs/version-3.9/requirements.mdx b/versioned_docs/version-3.9/requirements.mdx
index 8b4b310c..90237f79 100644
--- a/versioned_docs/version-3.9/requirements.mdx
+++ b/versioned_docs/version-3.9/requirements.mdx
@@ -197,7 +197,7 @@ ScalarDL is provided as a Pod on the Kubernetes platform in production environme
 
 ### Platform
 
-- **[Kubernetes](https://kubernetes.io/):** 1.28 - 1.32
+- **[Kubernetes](https://kubernetes.io/):** 1.30 - 1.33
   - **[Amazon Elastic Kubernetes Service (EKS)](https://aws.amazon.com/eks/)**
   - **[Azure Kubernetes Service (AKS)](https://azure.microsoft.com/en-us/products/kubernetes-service)**
 - **[Red Hat OpenShift](https://www.redhat.com/en/technologies/cloud-computing/openshift):** TBD