There are several potential benefits to buying a domain name that has recently expired from the market:

1. Established history: An expired domain may have already had an established history, which can include backlinks, indexed pages, and even search engine rankings. This can provide a head start in terms of SEO and give you a better chance of ranking well in search results.
2. Brand recognition: An expired domain may already have some brand recognition, which can be beneficial if you are planning to launch a similar business or website. This could save you time and money in building brand awareness.
3. Traffic: An expired domain may already have some traffic, which can be beneficial if you are planning to launch a similar business or website. This could save you time and money in building traffic.
4. Age: An expired domain may be older than a newly registered one, and search engines tend to favor older domains over newer ones. This can help your website to rank better in search results.
5. Cost: An expired domain may be cheaper than buying a new one, especially if the domain has a high value, such as a good keyword or a high search volume.

It’s worth noting that there is also a risk when buying expired domains, as some of them may have been used for spamming, black hat SEO or other illegal activities that can penalize your site. It’s recommended to check the domain history and be sure that the domain wasn’t used for any illegal activities before buying it.