Фильтр по списку идентификаторов
let activeIds = [202, 204]
let serviceList = [{
"id":201,
"title":"a"
},
{
"id":202,
"title":"a"
},
{
"id":203,
"title":"c"
},
{
"id":204,
"title":"d"
},
{
"id":205,
"title":"e"
}];
let arr = serviceList.filter(function(item){
return activeIds.indexOf(item.id) != -1;
});
console.log(arr);
Vishnu