You don't need lodash, you could do this:

let a = [{
        id: 23,
        active: false
    },
    {
        id: 33,
        active: false
    },
    {
        id: 167,
        active: false
    },
    {
        id: 18,
        active: false
    },
    {
        id: 2,
        active: false
    },
]

let marked = [167, 33, 23];

let result = a.map(x => ({
    ...x,
    active: marked.includes(x.id)
}))
console.log(result)

You can make this faster if you go over the marked array and store its elements in an object. Then during the map checking if element x.id is inside the object will be faster (vs checking inside array). But in practice in most of the cases you should not notice the difference.

This is really just an extension of @Giorgi Moniava's answer since the question has been updated. I think you should mark his answer as the accepted one. Basically all you need to do is check if the value for active is true or false. If it's true, set the status to updated otherwise, set the status to an empty string.

let a = [ 
  { id : 23, active :false, status:"" },
  { id : 33, active :false, status:"" },
  { id : 167, active :false, status:"" },
  { id : 18, active :false, status:"" },
  { id : 200, active :false, status:"" },
]

let marked = [167,33,23];

let result = a.map(obj => {
    const isActive = marked.includes(obj.id);
    const status = isActive ? 'updated' : '';
    return {
      ...obj,
      active: isActive,
      status: status
    }
})
console.log(result)

Try with this, use map function with includes function. Hope so this answer gives your actual result. if not then comment to me I'll give you another answer.

const found = a.map(function(mapData){
    (marked.includes(mapData.id)) ? mapData.active = true : '';
    return mapData;
})