As of my last knowledge update in September 2021, Google's presence in China remains a complex issue. The company has faced significant challenges operating in the country due to various factors, including government regulations, censorship concerns, and competition from local tech companies.

Here's an overview of Google's situation in China:

Search Engine:

- Google's search engine is not accessible in China without using a VPN or proxy server.

- Baidu, a local search engine, dominates the Chinese market.

Mobile Operating System:

- Google's Android operating system is widely used in China, but many of its services, such as the Play Store, Gmail, and YouTube, are blocked or restricted.

- Local Android app stores offer alternative apps and services.

Other Services:

- Google's other services, including Gmail, YouTube, and Google Maps, are either blocked or have limited functionality in China.

- Local alternatives to these services, developed by Chinese companies, are widely used.

Google has expressed a desire to re-enter the Chinese market, but it faces significant hurdles, including complying with government censorship requirements and navigating competitive pressures.

In recent years, there have been discussions and speculations about Google's potential strategies for re-entering the Chinese market. However, as of September 2021, the company has not made any concrete announcements or taken substantial steps towards re-establishing its full range of services in China.

It's important to note that this information may be outdated, and I recommend checking more recent sources for the latest updates on Google's status in China.