How to check some favorites objects?

Question

Tell me please.There's an array of objects.when user clicks on the icon to write this object in LocalStorage. But how to do it if there some objects to check.The problem that when writing to Local Storage, objects are overwritten. How to do it correctly?

 {sortedProjects?.map((project) => (
   <TableRow key={project._id} hover>
      <TableCell> 
       <EmptyStar color='primary' className={classes.starIcon} onClick={()=> 
           {localStorage.setItem(`${project._id}`, JSON.stringify(project));
              let list = JSON.parse(localStorage.getItem(`${project._id}`));
               console.log(list)}/>
       <Link>{project.name} </Link> 
      </TableCell>
   </TableRow>
  ))}