Keeping track of the stock and prices is important, you have different feature according to your plan.
The feature to track live stock and price update is available on the Advanced or Pro plan.
You can learn more about How to set Notifications and Auto updates here.
If you want to keep track of when a product runs out of stock, or you want to keep selling even if a product is out of stock, you can read below.
You can activate the notification feature on DSers - Setting - Notification to be notified in DSers when products are out of stock or their price changed.
And you can also activate below feature on Shopify to continue selling when out of stock.