What you seem to need is
const nearButNotApplied = this.allJobsNear.filter(({
  _id: nearId
}) => !this.appliedJobs.some(({
  _id: appliedId
}) => appliedId === nearId));
Demo
const allJobsNear = [{
  _id: 1
}, {
  _id: 2
}, {
  _id: 3
}, {
  _id: 4
}]
const appliedJobs = [{
  _id: 3
}, {
  _id: 1
}]
const nearButNotApplied = allJobsNear.filter(({
  _id: nearId
}) => !appliedJobs.some(({
  _id: appliedId
}) => appliedId === nearId));
console.log(nearButNotApplied)0
solved how to remove matching elements in an array?