Angular 2 How to remove a list item from Storage

How to remove items from the storage (Storage) by clicking on the button. Elements are entered through the input and added to the page. New items are stored in the Storage. Now the situation is this - the elements are deleted on the page by clicking on the button, when I update the page, they still remain in place. They continue somewhere to be stored.

file home.html

<ion-list>
<ion-item *ngFor="let place of places ; let i  = index" 
  (click)="onOpenPlace(place)">{{ place.title }}
</ion-item>
  <button ion-button color="danger" (click)="deletePlace(i)">Delete</button>
</ion-list>

file home.ts

import { Component } from '@angular/core';
import { Storage } from '@ionic/storage';          /*** does not work ***/

import { ModalController, NavController } from 'ionic-angular';
import { NewPlacePage } from "../new-place/new-place";
import { PlacePage } from "../place/place";
import { PlacesService } from "../../services/places.service";
import { Place } from "../../model/place.model";

@Component({
    selector: 'page-home',
    templateUrl: 'home.html'
})
 export class HomePage {
  places: {title: string}[] = [];

  constructor(
    private storage: Storage,
    public navCtrl: NavController,
    private placesService: PlacesService,
    private modalCtrl: ModalController) {

   }

    ionViewWillEnter() {
      this.placesService.getPlaces()
        .then(
      (places) => this.places = places
    );
   }

    onLoadNewPlace() {
      this.navCtrl.push(NewPlacePage);
   }

    onOpenPlace(place: Place) {
      this.modalCtrl.create(PlacePage, place).present();
   }

    deletePlace(i){                               /*** does not work ***/
      console.log('delete') 
        this.places.splice(i, 1);
   }
}   

file places.service.ts

import { Storage } from '@ionic/storage';          /*** does not work ***/
import { Injectable } from '@angular/core';
import { Place } from '../model/place.model';

@Injectable()
   export class PlacesService {
     private places: Place[] = [];

   constructor ( private storage: Storage) {}

   addPlace(place: Place) {
     this.places.push(place);
     this.storage.set('places', this.places);
}

   deletePlace(place: Place){                 /*** does not work ***/
     this.storage.remove('places');
}

   getPlaces() {
     return  this.storage.get('places')
       .then(
     (places) => {
       this.places = places == null ? [] : places;
       return this.places.slice();
      }
    );
   }
 }