Trying to read multiple pwm inputs to set pins high or low

My objective here is to read a pwm signal from an rc receiver. I want to read 3 seperate signals, and use them to turn led's on or off depending on read value.
The following code is where Im at, however it doesnt work correctly. When I turn my first channel on it lights the led, when the second channel triggers its led it turns on, but when the value is reached that should turn it off it does not turn off. I am very new to coding and not sure what to do. Any help would be greatly appreciated.

byte PWM_PIN1 = 1;
byte PWM_PIN2 = 2; // input from rcvr throttle to digi pin 2
byte PWM_PIN3 = 3; // input from rcvr gear to digi pin 3

int pwm_value1;
int pwm_value2;
int pwm_value3;

const int ledPin8 = 8;
const int ledPin9 = 9; // to brake light led
const int ledPin10 = 10; // to driving lights relay

void setup() {
pinMode(PWM_PIN1, INPUT);
pinMode(PWM_PIN2, INPUT);
pinMode(PWM_PIN3, INPUT);

pinMode(ledPin8, OUTPUT);
pinMode(ledPin9, OUTPUT);
pinMode(ledPin10, OUTPUT);

Serial.begin(115200);
}

void loop() {
pwm_value1 = pulseIn(PWM_PIN1, HIGH);
pwm_value2 = pulseIn(PWM_PIN2, HIGH);
pwm_value3 = pulseIn(PWM_PIN3, HIGH);

if (pwm_value1 > 1470) {
digitalWrite(ledPin8, LOW);
Serial.println(pwm_value1);
}
else if (pwm_value2 < 1465) {
digitalWrite(ledPin9, HIGH); // turn brake light on
Serial.println(pwm_value2);
}
else if (pwm_value3 > 1470) {
digitalWrite(ledPin10, HIGH);
Serial.println(pwm_value3);
}
else {
digitalWrite(ledPin8, LOW);
digitalWrite(ledPin9, LOW);
digitalWrite(ledPin10, LOW);

}
}

Right now, it will not turn off any LEDs unless all of the tests are false. It sounds like you want it to turn off each LED if the signal isn't saying to turn it on. If that's what you want, see below
Also, in the future please use code tags (click the </> button ) when posting code.

byte PWM_PIN1 = 1;
byte PWM_PIN2 = 2; // input from rcvr throttle to digi pin 2
byte PWM_PIN3 = 3; // input from rcvr  gear to digi pin 3

int pwm_value1;
int pwm_value2;
int pwm_value3;

const int ledPin8 = 8;
const int ledPin9 = 9;  // to brake light led
const int ledPin10 = 10; // to driving lights relay


void setup() {
pinMode(PWM_PIN1, INPUT);
pinMode(PWM_PIN2, INPUT);
pinMode(PWM_PIN3, INPUT);

pinMode(ledPin8, OUTPUT);
pinMode(ledPin9, OUTPUT);
pinMode(ledPin10, OUTPUT);

Serial.begin(115200);
}

void loop() {
pwm_value1 = pulseIn(PWM_PIN1, HIGH);
pwm_value2 = pulseIn(PWM_PIN2, HIGH);
pwm_value3 = pulseIn(PWM_PIN3, HIGH);

if (pwm_value1 > 1470) {
digitalWrite(ledPin8, LOW);
Serial.println(pwm_value1);
}
else {
digitalWrite(ledPin8, LOW);
}
 if (pwm_value2 < 1465) {
digitalWrite(ledPin9, HIGH);  // turn brake light on
Serial.println(pwm_value2);
}
else {
digitalWrite(ledPin9, LOW);
}
if (pwm_value3 > 1470) {
digitalWrite(ledPin10, HIGH);
Serial.println(pwm_value3);
}
else {
digitalWrite(ledPin10, LOW);
}
}

SOrry about not using code tags, Im new here and its my first post.
That said, thank you that made it work.