feat(memory): expose expiration controls in client docs (#5874)

Co-authored-by: Soumil Rathi <soumilrathi@gmail.com>

mem0-ts/src/client/tests/memoryClient.search.test.ts

@@ -81,6 +81,24 @@ describe("MemoryClient - search()", () => {
     expect(getFetchBody(call!).latest_only).toBe(true);
   });
 
+  test("serializes showExpired as show_expired", async () => {
+    const extra = new Map<string, { status: number; body: unknown }>();
+    extra.set("/v3/memories/search/", {
+      status: 200,
+      body: { results: [] },
+    });
+    const mock = setupMockFetch(extra);
+
+    const client = new MemoryClient({ apiKey: TEST_API_KEY });
+    await client.search("test", {
+      filters: { user_id: "u1" },
+      showExpired: true,
+    });
+
+    const call = findFetchCall(mock, "/v3/memories/search/", "POST");
+    expect(getFetchBody(call!).show_expired).toBe(true);
+  });
+
   test("passes complex OR filters through to the API body", async () => {
     const extra = new Map<string, { status: number; body: unknown }>();
     extra.set("/v3/memories/search/", {
@@ -300,4 +318,22 @@ describe("MemoryClient - getAll() entity param rejection", () => {
     const call = findFetchCall(mock, "/v3/memories/", "POST");
     expect(getFetchBody(call!).latest_only).toBe(true);
   });
+
+  test("serializes showExpired as show_expired", async () => {
+    const extra = new Map<string, { status: number; body: unknown }>();
+    extra.set("/v3/memories/", {
+      status: 200,
+      body: { results: [] },
+    });
+    const mock = setupMockFetch(extra);
+
+    const client = new MemoryClient({ apiKey: TEST_API_KEY });
+    await client.getAll({
+      filters: { user_id: "u1" },
+      showExpired: true,
+    });
+
+    const call = findFetchCall(mock, "/v3/memories/", "POST");
+    expect(getFetchBody(call!).show_expired).toBe(true);
+  });
 });